Question

Two straight lines AB and CD cut each other at O. If ∠BOD = 63°, the ∠BOC =
A. 63°
B. 117°
C. 17°
D. 153°

Answer 1

Concept :  

Linear pair of angles:

If Non common arms of two adjacent angles form a line, then these angles are called linear pair of angles.

 

 

Given : Two straight lines AB and CD cut each other at O. ∠BOD = 63°.

To find : ∠BOC  

Proof:  

∠BOD + ∠BOC = 180° (Linear pair)

63° + ∠BOC = 180°

[∠BOD = 63°]

∠BOC = 180° - 63°  

∠BOC = 117°

Hence ∠BOC  is  117°.

 Among the given options option (B) 117° is correct.

HOPE THIS ANSWER WILL HELP YOU…..

 

 

Some questions of this chapter :

In the given figure, lines AB and CD intersect at O. If and find ∠BOE and reflex ∠COE.

https://brainly.in/question/1389703

 

In Fig. 8.122, AOB is a straight line. If ∠AOC +∠BOD = 85°, then ∠COD =

A. 85°

B. 90°

C. 95°

D. 100°

https://brainly.in/question/15906412

Answer 2

Step-by-step explanation:

PLZ MARK AS BRAINLIEST