Question

the sum of the measures of two angles of a triangle is twice the measure of the third angle. the measure of the second angle is 28 degrees less than the measure of the third angle. what is the degree measurement of the largest angle?

Answer 1

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Answer:

88°

Explanation:

If the ratio of the third angle to the sum of the other two is 1 : 2, then the third angle must be 1/(1+2) = 1/3 of the total of angle measures. The third angle is 1/3(180°) = 60°.

If the second angle is 28° less than 60°, then the first angle is ...

180° -60° -(60-28)° = (60 +28) = 88° . . . . . sum of all angles is 180°

The largest angle is 88°.