Q22 of 115 Page 8

In Fig. 8.134, if l || m, what is the value of x?

Given that,

l ‖ m

Let,

∠1 = 3y

∠2 = 2y + 25^o

∠3 = x + 15^o

∠1 = ∠2 (Alternate angle)

3y = 2y + 25^o

y = 25^o

∠2 = ∠3 (Vertically opposite angle)

x + 15^o = 2 (25^o) + 25^o

x = 60^o

In Fig. 8.132, if l₁ || l₂, what is the value of y?

In Fig. 8.133, if l₁ || l₂ and l₃ || l₄, what is y in the terms of x?

In Fig. 8.135, if line segment AB is parallel to the line segment CD, what is the value of y?

In Fig. 8.136, if CP || DQ, then the measure of x is