Question

PQ||RS FIND A

I will mark as BRAINLIST

step by step explanation please​

Answer 1

Answer:

35°.

Step-by-step explanation:

So, it is given that PQ // RS

∴ We can use linear pair.

∠ XWS + ∠ XWV = 180° (Linear Pair).

120° + ∠ XWV = 180°

∠ XWV = 180° - 120°

∠ XWV = 60°

Now ∠ T = 85° ( Vertically Opposite Angles)

We also know that ∠ T = ∠ V (Co interior Angles)

∠ V = 85°

Now, VXW is a triangle.

So, using angle sum property,

60° + 85° + a = 180°

145° + a = 180°

a = 35°

∴ The value of a is 35°.

Answer 2

I hope it will help u, if u have any doubt may ask