Question

In the figure shown below, AABC = ADBE. Find the value of x.

Show the work to support your answer.
E
81
51°
B
(x+5)
D

Answer 1

• x = 43°

Explanation:

Given

• ΔABC ≅ ΔDBE

Corresponding angles

• ∠DBE ≅ ∠ABC, ∠A ≅ ∠D

Find the value of ∠D

• m∠D = 180° - (81 + 51) = 48°

Find the value of x

• m∠A = m∠D
• x + 5 = 48°
• x = 48° - 5°
• x = 43°