Question

Find the measure of angle y, given that EF || CB.

Answer 1

y = 80

Explanation:

∵EF║CB

∴∠AFE = ∠FBG = 60°

∠AEF = y = 180 - (40 + 60) = 80°

Answer 2

Explanation:

∠A + ∠B + ∠C = 180 {Angle sum property of triangle}

40 + 60 + ∠c = 180

100 + ∠C = 180

∠C = 180 - 100

∠C = 80

EF // CB and CE is transversal

y = ∠C {corresponding angles are congruent}

y = 80°