Question

Find the value of x.​

Answer 1

30

Explanation:

65+75= 140

180-140 = 40

Transversal Angle so Angles are corresponding

40+110=150

180-150=30

Answer 30 degrees

Answer 2

Explanation:

In ΔABE

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

65 + 75 + ∠AEB = 180

140 + ∠AEB = 180

∠AEB = 180 - 140 = 40

∠CED = ∠AEB {Vertically opposite angles}

∠CED = 40

ΔDCE,

∠D + ∠C + ∠CED = 180

x + 110 + 40 = 180

x = 180 - 150

x = 30°