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Find the missing angle measurements.

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User Brian Dunn
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2 Answers

3 votes

Answer:

The answers are on the image shown.

remember that all the angles of a triangle add up to 180

Explanation:

hope this helps

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User Nonbot
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1 vote

Answer:

The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.

Explanation:

According to exterior angle theorem: It a triangle

Exterior angle = Sum of opposite interior angles

In triangle BED,


\angle AEF=\angle B+\angle D


82=\angle B+28


82-28=\angle B


54=\angle B

The measure of angle B is 54°.

In triangle ABC,


\angle ACD=\angle A+\angle B


105=\angle A+54


105-54=\angle A


51=\angle A

The measure of angle A is 51°.

In triangle AEF,

Using angle sum property,


\angle A+\angle E+\angle AFE=180


51+82+\angle AFE=180


133+\angle AFE=180


\angle AFE=180-133


\angle AFE=47

Therefore the measure of angle AFE is 47°.

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User Fazle Rabbi
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