Maths-

General

Easy

Question

# In the given figure, if and then the value of is

## The correct answer is:

### We were given with a diagram and asked to find the angle

Draw a line AB parallel to PQ, so AB∥PQ and PQ∥RS, so AB∥RS.

It is known that the sum of two interior angles on the same side is 180, therefore,

∠QXM+∠XMB=180

∠XMB=180−135

∠XMB=45

alternate interior angles are equal, so,

∠BMY=∠MYR

∠BMY=40

Now, ∠XMY=∠XMB+∠BMY

=45+40

=85

Hence 85^{o} is correct option

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