Question

and again the given figure find the value of angle 1 angle to and angle 3 if PQ is parallel to Rs ​

Answer 1

Answer:

Solution

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

∘

Step-by-step explanation: