Question

Find the value of x

Answer 1

x = 104

Explanation:

In ΔCDE , CD = CE. ⇒ΔCDE is an isosceles triangle.

So, ∠D = ∠E = 71°

∠DCE + 71 + 71 = 180 {Angle sum property of triangle}

∠DCE + 142 = 180

∠DCE = 180 - 142 = 38

∠ACB = ∠DCE {Vertically opposite angles}

∠ACB = 38

ΔABC is also an isosceles triangle where ∠ACB = ∠B = 38

x + 38 + 38 = 180

x + 76 = 180

x = 180 - 76

x = 104