SOLUTION: One angle of a triangle is three times as large as another. The measure of the third angle is 70° more than that of the smallest angle. Find the measure of each angle.

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Question 1056775: One angle of a triangle is three times as large as another. The measure of the third angle is 70° more than that of the smallest angle. Find the measure of each angle.


Answer by ikleyn(52792) About Me  (Show Source):
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One angle of a triangle is three times as large as another. The measure of the third angle is 70° more than that of the smallest angle.
Find the measure of each angle.
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Let x be the measure of the smallest angle (in degrees).

Then the other angle measure is 3x.

The third angle measure is x + 70 degrees.


The equation is 

x + 3x + (x+70) = 180.

5x = 180 - 70,

5x = 110,

x = 22.

The smallest angle is 22 degs.

Please complete the solution from this point on your own.

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