Question

In Fig. 6.24, if PQII RS, angle MXQ = 135º and angle MYR = 40°, find angle XMY.
step by step explanation....​

Answer 1

Answer:

refers to attachment ✌

Answer 2

Answer:

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°

It is also known that the alternate interior angles are equal, so,

∠BMY=∠MYR

∠BMY=40°

Now, ∠XMY=∠XMB+∠BMY

=45° +40°

=85°

hope it's help you!!!

#XMissheadacheX