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What is the measure of the missing angle?

A. 222

B. 48

C. 132

D. 42​

What is the measure of the missing angle? A. 222 B. 48 C. 132 D. 42​-example-1
User R Ubben
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2 Answers

3 votes

Answer:

D: 42

Explanation:

User Jeswang
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3 votes

Answer:

D. 42 degrees

Explanation:

One angle is a right angle, so its measure is 90 degrees.

An exterior angle measures 132 degrees. That exterior angle is supplementary to one of the interior angles of the triangle.

180 deg - 132 deg = 48 deg

The interior angle adjacent to the 132-deg exterior angle measures 48 deg.

The measures of the interior angles of a triangle add to 180 deg.

90 + 48 + ? = 180

138 + ? = 180

? = 180 - 138

? = 42

Answer: 42 degrees

User Mezgrman
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5.6k points