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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

In the figure shown below AABC ADBE Find the value of x Show the work to support your answer E 81 51 B x5 D class=

Respuesta :

mhanifa

Answer:

  • x = 43°

Step-by-step 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°
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