{"id":4697,"date":"2021-11-28T14:57:57","date_gmt":"2021-11-28T14:57:57","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=4697"},"modified":"2022-01-03T08:09:15","modified_gmt":"2022-01-03T08:09:15","slug":"linear-pair-of-angles-mindspark","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/linear-pair-of-angles-mindspark\/","title":{"rendered":"LINEAR PAIR OF ANGLES – MINDSPARK"},"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=”4.13.1″ _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

LINEAR PAIR OF ANGLES – MINDSPARK<\/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

LINEAR PAIR OF ANGLES<\/b><\/b><\/h2>\n

A straight line forms an angle of 180 degrees. After the two lines intersect each other the sum of adjacent angles formed is 180 degrees. These types of angles are also known as supplementary angles. They have a common vertex and a common arm that represents the two angles. The uncommon arms form a line. The word linear means straight so linear angles are those that are formed into a straight line.\u00a0<\/span><\/p>\n

The supplementary angles are constructed on a line segment but not all adjacent angles are linear.\u00a0<\/span><\/p>\n

Let us consider a line AB and another ray intersecting the line AB. The ray OP intersects the line AB and the sum of the angles formed by the angles is 180\u00b0.<\/span><\/p>\n

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

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

Here, the \u2220AOP = 135\u00b0 and \u2220POB = 45\u00b0. The sum of the two angles ( 135\u00b0 + 45\u00b0 ) is 180\u00b0.\u00a0<\/span><\/p>\n

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

PROPERTIES<\/b><\/b><\/p>\n

    \n
  1. The sum of two angles which are a linear pair is always 180 degree.<\/span><\/li>\n
  2. All the linear pair of angles are adjacent angles but all adjacent angles are not linear pair of angles.<\/span><\/li>\n
  3. They share a common arm and a vertex between them.<\/span><\/li>\n
  4. They always form one straight line.<\/span><\/li>\n<\/ol>\n

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

    Linear pairs of angles are nothing but two parts of a straight angle. Straight angle is formed when the angle between the two lines is 180 degrees. It is another way to represent a straight line.<\/span><\/p>\n

    <\/b><\/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
    \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

    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
    Angle Sum Property of a Triangle<\/a><\/div>\n
    Angle between two lines<\/a><\/div>\n
    Adjacent Angles<\/a><\/a><\/div>\n<\/div>\n

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

      1. What are linear pairs of angles?<\/strong><\/h3>\n

      Ans: <\/strong><\/span>They are the angles that are formed when two lines intersect each other and the sum of the adjacent angles is 180\u00b0.<\/span><\/strong><\/p>\n

      2. What is a straight angle?
      <\/strong><\/h3>\n

      Ans: <\/strong>When the angle between two lines is 180\u00b0, it is known as a straight angle. It is just another way of representing a straight line.<\/strong><\/span><\/p>\n

      3. If two angles <\/b>\u2220<\/b>POA and <\/b>\u2220<\/b>AOQ form a linear pair and one of them is 100\u00b0. Find the value of the other angle?<\/b><\/h3>\n

      Ans: <\/b>The sum of a linear pair of angles is 180\u00b0 so the value of the other angle is (180\u00b0 – 100\u00b0) = 80\u00b0.<\/span><\/p>\n

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

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