SOLUTION: The second angle in a triangle is three times as large as the first. And the third angle is twice as large as the second. What are the measures of all three angles?

SOLUTION: The second angle in a triangle is three times as large as the first. And the third angle is twice as large as the second. What are the measures of all three angles?

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Question 974978: The second angle in a triangle is three times as large as the first. And the third angle is twice as large as the second. What are the measures of all three angles?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the measure of the first angle. The second angle, being 3 times as large as the first, must measure

. The third angle, being twice as large as the second angle, must measure

. The sum of the angles of any triangle is 180 degrees, hence:

Solve for

, then compute

and

.

John

My calculator said it, I believe it, that settles it

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