Question

Find the value of x and y.

Answer 1

Explanation:

CD and AB are parallel; DB transverse

∠D + ∠B = 180 {co interior angles}

112 + 27 + y = 180

139 + y = 180

y = 180 - 139

y = 41

In ΔABC,

49 + x + y = 180 ( sum of all angles of triangle}

49 + x + 41 = 180

90 + x = 180

x = 180 - 90

x = 90