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39 votes
39 votes
Anyone have the answer for this, please

Anyone have the answer for this, please-example-1
User Rashomon
by
2.2k points

1 Answer

27 votes
27 votes

Answer:

130°

Explanation:

∠AOB + ∠BOC + ∠COD = 180

Note ∠BOC = 90°

so 3x - 28 + 90 + 66 - x = 180

2x + 128 = 180

2x = 180 - 128 = 52

x = 52/2 = 26

Note ∠EOD = ∠BOA = 3x - 28 = 3*26 - 28 = 50

∠AOE + ∠EOD = 180°

so

∠AOE + 50 = 180

∠AOE = 180 - 50 = 130°

User Krzysztof Kaczor
by
2.9k points