In Fig. 8.131, if l1 || l2, what is x + y in terms of w and z?

Q19 of 115 Page 8

In Fig. 8.131, if l₁ || l₂, what is x + y in terms of w and z?

Given that,

l₁ ‖ l₂

Let m and n be two transversal cutting them

∠w + ∠x = 180^o (Consecutive interior angle)

x = 180^o – w (i)

z = y (Alternate angles) (ii)

From (i) and (ii), we get

x + y = 180^o – w + z

In Fig. 8.129, PQ++RS, ∠AEF =95°, ∠BHS =110° and ∠ABC =x°. Then the value of x is,

In Fig. 8.130, if l₁||l₂, what is the value of x?

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?