Find the measure of angle AOE in the diagram below. Help will be appreciated!

Mathematics

2 answers:

Ede4ka [16]3 years ago

4 0

Answer:

We choose D

Step-by-step explanation:

Given that:

∠BOA = (3x -28) degrees
∠COD = (66 -x) degrees
∠BOC = 90 degrees

As we know that ∠BOA + ∠COD + ∠BOC= 180 degrees because AD is a straight line, so we have:

(3x -28) + (66-x) +90 = 180

<=> 2x = 52

<=> x = 26 degrees.

=> ∠BOA = 3*26 - 28 = 50 degrees

As we can see that, ∠BOA = ∠DOE (The properties of two straight lines intersect)

<=> ∠DOE = 50 degrees

Once again, the AD is a straight line, so we have:

∠DOE + ∠AOE = 180

<=> ∠AOE = 180 - ∠DOE

<=> ∠AOE = 180 - 50 = 130 degrees

We choose D

DanielleElmas [232]3 years ago

3 0

I believe the answer is c) 120

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