Question

Find the values of x and y

Answer 1

x = 90°

y = 43°

Explanation:

ΔBAD ≅ ΔCAD [due to side-angle-side[

we know the m∡A + m∡B + m∡C = 180

∡A = y+y or 2y

∡B = ∡C [corresponding parts of congruent triangles are congruent]

2y + 47 + 47 = 180

2y + 94 = 180

2y = 86

y = 43

47 + 43 + x = 180

90 + x = 180

x = 90