jaaydeee jaaydeee

24-10-2020
Mathematics

contestada

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

AACB ADCE ZB 61 ZC 57 and ZD 2x D E A с X B class=

Respuesta :

jimrgrant1 jimrgrant1

24-10-2020

Answer:

x = 31

Step-by-step 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

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