Q14 of 115 Page 8

In Fig. 8.128, if AB||CD, then the value of x is

Given that,

AB ‖ CD and transversal cuts them


Let,


∠1 = 120o + x and


∠2 = x


∠1 = ∠3 (Alternate angles)


∠3 = 120o + x (i)


∠2 + ∠3 = 180o (Linear pair)


x + 120o + x = 180o


2x = 60o


x = 30o

More from this chapter

All 115 →
12

If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2:3, then the measure of the larger angle is

 13

In Fig. 8.127, AB||CD||EF and GH||KL. The measure of ∠HKL is

 15

AB and CD are two parallel lines. PQ cuts AB and CD at E and F respectively. EL is the bisector of ∠FEB. If ∠LEB =35°, then ∠CFQ will be

 16

Two lines AB and CD intersect at O. If ∠AOC +∠COB +∠BOD = 270°, then ∠AOC =