Question

Q1. The value of x is:- A. 40° ,B. 50° C. 60° D 130°​

Answer 1

Answer:

B)50

Step-by-step explanation:

the angle given is vertically opposite to to angle x.

there angle x will also be 50°

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Answer 2

Answer:

x = 50°

Step-by-step explanation:

As can be seen from the figure,

∠COA and ∠BOD are opposite angles.

{Assuming the intersection point of line AB and CD to be O}

Now, we know that ∠AOB = 180°

because AB is a straight line and a straight line makes angle 180° at every point lying on the straight line.

Also,

∠AOB = ∠AOC + ∠COB

180° = 50°  +  ∠COB

∠COB = 130°                  ---------------1

Now, similarly ∠COD = 180°  -------------2

∠COD = ∠COB + ∠BOD

and, ∠BOD = x

from equation 1 and 2

x = 180° - 130°

x = 50°

Now, you can interpret that opposite angles are equal and not only in this question, in every case opposite angles are equal