SOLUTION: One angle in a triangle is double the smallest angle, and the third angle in the triangle is 5 more than four times the smallest angle. Find the size of each angle.

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Question 1142312: One angle in a triangle is double the smallest angle, and the third angle in the triangle is
5 more than four times the smallest angle. Find the size of each angle.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) About Me  (Show Source):
Answer by greenestamps(13200) About Me  (Show Source):
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Let the measure of the smallest angle be x.

Then another angle has a measure of 2x. ("one angle... is double the smallest...")

And the measure of the third angle is 4x+5. ("the third angle... is 5 more than four times the smallest angle")

Find the smallest angle by writing and solving the simple equation that says the sum of the three angles is 180 degrees. Then use that number to determine the measures of the other two angles.