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What are the measures of Angles a, b, and c? Show your work and explain your

answers. (10 points)

What are the measures of Angles a, b, and c? Show your work and explain your answers-example-1
User Dennis Anikin
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1 Answer

9 votes
9 votes

Answer:

a= 30

b=60

c=105

Explanation:

A forms a vertical angle with another angle that measures 30 degrees, therefore,

a= 30 degrees.

Since a is 30 degrees and a and b are in the same triangle with a 90-degree angle and all interior angles in a triangle equal 180 degrees.

Then, 30+90+b=180

120+b=180

b=60

Angle c and an angle that equals 75 degrees are supplementary. meaning that they add up to 180 degrees.

180-75=c

105=c

User Abhishek Chauhan
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3.6k points