Math, asked by janvibhagat159, 5 hours ago

angles of linear pair are ​

Answers

Answered by pandeyanu0012
1

Answer:

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles.

Answered by aakashmutum
1

Question-

Angles of linear pairs are ​

Answer-

Linear pair of angles are the angles that are adjacent to each other when a ray or line intersect. The sum of the linear pair of angles is always equal to 180°.

Explanation-

When the angle between the two lines is 180°, they form a straight angle. A straight angle is just another way to represent a straight line. A straight line can be visualized as a circle with an infinite radius. A line segment is any portion of a line that has two endpoints. Also, a portion of any line with only one endpoint is called a ray.

If a point O is taken anywhere on the line segment ABConsider a ray OP stand on the line segment AB, then the angle between the two line segments AO and OB is a straight angle i.e. 180°.

The angles which are formed at O are ∠POB and ∠POA. It is known that the angle between the two line segments AO and OB is 180°. therefore, the angles ∠POB and ∠POA add up to 180°.

Thus, ∠POB + ∠POA = ∠AOB = 180°

∠POB and ∠POA are adjacent to each other and when the sum of adjacent angles is 180° then such angles form linear pair of angles.

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