Q106 of 113 Page 128

In Fig. 5.59, AB||CD. Find the reflex ∠EFG.

∠ 2 + ∠ FGD = 180⁰(Co Interior angle)

∠ 2 = 180⁰-135⁰ = 45⁰

∠ 1 = ∠ AEF = 34⁰(Alternate Interior angle)

∠ 1 + ∠ 2 = 79⁰

Reflex ∠EFG = (360⁰-(∠ 1 + ∠ 2)) = 281⁰

104

In Fig. 5.57, PQ || RT. Find the value of a + b.

105

In Fig 5.58, PQ, RS and UT are parallel lines.

(i) If c = 57⁰ and a = find the value of d.

(ii) If c = 75⁰ and a = c, find b.

107

In Fig. 5.60, two parallel lines l and m are cut by two transversals n and p. Find the values of x and y.

108

In Fig. 5.61, l, m and n are parallel lines, and the lines p and q are also parallel. Find the values of a, b and c.