In Fig., PQ||ST. Then, the value of x + y is (a) 125° (b) 135° (c)

1.	In Fig., PQ\|\|ST. Then, the value of x + y is (a) 125° (b) 135° (c) 145° (d) 120°
Answer» (b) 135° From the figure, PQ is a straight line We know that, sum of angle on the straight is equal to 180°. Then, y + ∠ PQR = 180° y + 130 = 180° y = 50° Then, ∠ QOS = ∠ TSO [Co-interior angle] x = 85° x + y = 135°

In Fig., PQ||ST. Then, the value of x + y is (a) 125° (b) 135° (c) 145° (d) 120°

Answer»

(b) 135°

From the figure, PQ is a straight line

We know that, sum of angle on the straight is equal to 180°.

Then,

y + ∠ PQR = 180°

y + 130 = 180°

y = 50°

Then,

∠ QOS = ∠ TSO [Co-interior angle]

x = 85°

x + y = 135°