Question

In the given fig, OP and OQ are opposite rays. If y=110°, find the value of x.​

Answer 1

Answer : $\sf \: X\: = \: 70\: ^{ \circ}$

Given : ↴

$\sf \: Y\: = \: 110\: ^{ \circ}$

To Find : ↴

$\sf \: We\: need \: to\: find\: the\: value\: of\: x$

So, Let's Start :

$\sf \: Sum\: of\: X\: and \: Y\: = \: 180 \: ^{ \circ}$

ㅤㅤㅤ↳ㅤ$\sf \: (By\: Linear \: Pair)$

↦ X + 110° = 180°

X = 180° - 110° = 70°

$\boxed { {So, \: Our\: Answer\: is \:70\: ^{ \circ}}}$

$\sf\: MORE\: TO \: KNOW$ ↴

• A linear pair is a pair of adjacent, supplementary angles.

• Adjacent means next to each other.

• Supplementary means that the sum of the measures of the two angles is equal to 180°