Question

AACB = ADCE

ZB = 61°, ZC = 57°, and ZD = 2x
D
E
A
с
X = [?]
B

Answer 1

x = 31

Explanation:

Given that the triangles are congruent, then corresponding angles are congruent, then

∠ D = ∠ A

The sum of the 3 angles in a triangle = 180° , thus

∠ A = 180° - (61 + 57)° = 180° - 118° = 62°

Thus

2x = 62 ( divide both sides by 2 )

x = 31