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What is the sum of the measures of ∠1 and ∠2?

User FHannes
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2 Answers

5 votes

Answer:

131°

Explanation:

User Simon Chadwick
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3.3k points
5 votes

Answer:

The sum of the measures of ∠1 and ∠2 is 131 degrees

Explanation:

The picture of the question in the attached figure

step 1

Find the measure of angle 1

In this problem Line p is parallel to segment BC

so


m\angle 1=57^o ----> by alternate interior angles

step 2

Find the measure of angle 2

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

In the triangle ABC


m\angle 2+57^o+49^o=180^o


m\angle 2=180^o-106^o=74^o

step 3

Find the sum of the measures of ∠1 and ∠2

we have


m\angle 1=57^o


m\angle 2=74^o

so


m\angle 1+m\angle 2=57^o+74^o=131^o

What is the sum of the measures of ∠1 and ∠2?-example-1
User GoofballLogic
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3.1k points