SOLUTION: A triangle has an angle that measures 30°. The other two angles are in a ratio of 13:17. What are the measures of those two angles?

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Question 1144238: A triangle has an angle that measures 30°. The other two angles are in a ratio of 13:17. What are the measures of those two angles?

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52788) (Show Source):
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30 + 13x + 17x = 180 degees (the sum of angles of any triangle) 30 + 30x = 180 30x = 180-30 = 150 x = 150/30 = 5. The unknown angles become known now : 13*5 = 65 degrees and 17*5 = 85 degrees.

Solved.

Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website!

Given the 13:17 ratio of the measures of the other two angles, let the measures of those two angles be 13x and 17x.

It is a standard way to start a problem when a ratio is given.

Then the three angles of the triangle are 30, 13x, and 17x.

The sum of the measures is 180 degrees:

Solve for x using basic algebra; then determine the values of 13x and 17x.