Question

A triangle has an angle that measures 115°. The other two angles are in a ratio of 6:7. What are the measures of those two angles?

Answer 1

30° ; 35°

Explanation:

Recall:

Sum of angles in a triangle = 180°

One of the 3 angles = 115

The sum of the other 2 Angles will be :

(180 - 115) = 65°

The other two angles are in the ratio 6:7

Hence,

Each of the two angles can be calculated thus :

Angle 2 :

Sum of ratio = 6 + 7 = 13

(6 / 13) * 65 = 30°

Second angle :

(7 / 13) * 65 = 35°