{"id":7141,"date":"2021-12-29T11:12:57","date_gmt":"2021-12-29T11:12:57","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=7141"},"modified":"2022-01-03T07:20:15","modified_gmt":"2022-01-03T07:20:15","slug":"reflex-angle-definition-examples","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/reflex-angle-definition-examples\/","title":{"rendered":"Reflex angle \u2013 Definition \u2013 Examples"},"content":{"rendered":"

[et_pb_section fb_built=”1″ admin_label=”Section” module_class=”mainsec” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#e0f2fd” z_index=”1″ custom_padding=”5px||5px||true|false” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_row column_structure=”3_5,2_5″ custom_padding_last_edited=”on|phone” _builder_version=”4.10.8″ _module_preset=”default” background_color=”#FFFFFF” width=”100%” max_width=”1310px” custom_padding=”|51px|40px|51px|false|true” custom_padding_tablet=”” custom_padding_phone=”|40px|30px|40px|false|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”][et_pb_column type=”3_5″ admin_label=”Column L” _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”Acute Angles
\n” _builder_version=”4.11.3″ _module_preset=”default” header_font=”|700|||||||” header_text_align=”left” header_font_size=”50px” header_line_height=”1.18em” custom_padding=”|0px||4px|false|false” header_font_size_tablet=”” header_font_size_phone=”35px” header_font_size_last_edited=”on|phone” global_colors_info=”{}”]<\/p>\n

Reflex angle \u2013 Definition \u2013 Examples<\/h1>\n

[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” custom_padding=”15px|15px|54px|4px|false|false” global_colors_info=”{}”]<\/p>\n

Reflex angle<\/b><\/h2>\n

Based on the measurements, angles are classified into 5 types<\/span><\/p>\n

    \n
  1. Acute angle (0\u00b0 < \u03b8 < 90\u00b0)<\/span><\/li>\n
  2. Right angle (\u03b8 = 90\u00b0)<\/span><\/li>\n
  3. Obtuse angle (90\u00b0 < \u03b8 < 180\u00b0)<\/span><\/li>\n
  4. Straight angle (\u03b8 = 180\u00b0)<\/span><\/li>\n
  5. Reflex angle (180\u00b0 < \u03b8 < 360\u00b0)<\/span><\/li>\n
  6. Complete angle (\u03b8 = 360\u00b0)<\/span><\/li>\n<\/ol>\n

    If the measure of the angle is greater than that of a straight angle (180\u00b0) but smaller than that of a complete angle (360\u00b0), it is called a reflex angle.<\/span><\/p>\n

    <\/span><\/p>\n

    Since the reflex angle is always greater than 180\u00b0 but less than 360\u00b0, we can write it as the sum of straight angles and other angles which are less than a straight angle.<\/span><\/p>\n

      \n
    1. Straight angle + Acute angle\u00a0<\/span><\/li>\n
    2. Straight angle + Right angle\u00a0<\/span><\/li>\n
    3. Straight angle + Obtuse angle<\/span><\/li>\n<\/ol>\n

      <\/span><\/p>\n

      It can be also written in the following forms<\/span><\/p>\n

        \n
      1. Complete angle <\/span>–<\/span> acute angle\u00a0<\/span><\/li>\n
      2. Complete angle <\/span>–<\/span> right angle\u00a0<\/span><\/li>\n
      3. Complete angle <\/span>–<\/span> obtuse angle<\/span><\/span><\/li>\n<\/ol>\n

        \n

        \"\"<\/span><\/p>\n

        <\/b><\/h2>\n

        Measurement using protractors<\/b><\/h2>\n

        An angle less than 180\u00b0 can be easily measured through a protractor. For angles more than 180\u00b0, we can\u2019t measure it directly using protractors. Here we have to measure the smaller angle using the protractor and then subtract it from 360\u00b0.<\/span><\/p>\n

        Here is an example showing the procedure.<\/span><\/p>\n

        <\/span><\/p>\n

        Example<\/b><\/h3>\n

        Find the measure of the reflex angle <\/span>\u2220AOB<\/span><\/p>\n

         <\/p>\n

        \"\"<\/p>\n

        <\/span><\/p>\n

          \n
        1. We have to find the measure larger angle <\/span>\u2220<\/span>b and it is greater than 180\u00b0. It is not possible to measure it using a protractor because a protractor can only measure up to 180\u00b0.<\/span><\/li>\n
        2. But angle <\/span>\u2220<\/span>a is less than 180\u00b0 and we can measure that. The measure of <\/span>\u2220a = <\/span>140\u00b0 is shown in the figure and it is an obtuse angle.<\/span><\/li>\n
        3. We already know that\u00a0<\/span><\/li>\n<\/ol>\n

          Reflex angle = Complete angle <\/span>–<\/span> obtuse angle<\/span><\/p>\n

          \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0= 360\u00b0 – 140\u00b0<\/span><\/p>\n

          \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0= 220\u00b0<\/span><\/p>\n

          4. Hence the measure of <\/span>\u2220AOB = \u2220b is <\/span>220\u00b0.<\/span><\/span><\/p>\n

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          \n” _builder_version=”4.9.11″ _module_preset=”default” header_font=”|700|||||||” header_font_size=”25px” text_orientation=”center” custom_margin=”0px||0px||true|false” custom_padding=”8px|15px|0px|15px|false|true” locked=”off” global_colors_info=”{}”]<\/p>\n

          Explore Other Topics<\/h1>\n

          [\/et_pb_text][et_pb_text _builder_version=”4.10.7″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n

          \n
          Geometry<\/a><\/div>\n
          Trigonometry<\/a><\/div>\n
          Operations<\/a><\/div>\n
          Numbers<\/a><\/div>\n<\/div>\n

          [\/et_pb_text][et_pb_text admin_label=”Related Concepts
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          Related Concepts<\/h1>\n

          [\/et_pb_text][et_pb_text _builder_version=”4.13.1″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n

          \n
          Corresponding Angles<\/a><\/div>\n
          Adjacent Angles<\/a><\/div>\n
          Vertically Opposite Angles<\/a><\/a><\/div>\n<\/div>\n

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          Frequently Asked Questions\u00a0<\/span><\/span><\/h1>\n
            <\/ol>\n

            Q1. What is a reflex angle?
            <\/strong><\/h3>\n

            Ans: <\/strong>Any angle in between a straight angle and a complete angle is termed a reflex angle.<\/strong><\/span><\/span><\/span><\/p>\n

            Q2. What do you mean by a complete angle?
            <\/strong><\/h3>\n

            Ans: <\/strong>The angle with a measure of 360 degrees is termed a complete angle.<\/strong><\/strong><\/p>\n

            Q3. What do you mean by reflex of an angle?
            <\/strong><\/h3>\n

            Ans: <\/strong>Reflex of an angle = 360\u00b0 – angle<\/span><\/p>\n

            Ex- Reflex of 45\u00b0 = 360\u00b0 – 45\u00b0 = 315\u00b0<\/span><\/strong><\/p>\n

            [\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"

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