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(52794)   (Show Source): You can put this solution on YOUR website!
.

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.
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