Question

Two angles are supplementary. One angle is 184° less than three times the other. Find the measures of the angles.

91°, 89°

96°, 84°

86°, 94°

90°, 86°

Answer 1

91°, 89°

Explanation:

The sum of suplementary angles is allways 180°

so:

x - the other angle

3x - three times the other angle

180°- x - one angle

180° - x + 184° = 3x

364° = 4x

x = 91°

180°- x = 180° - 91° = 89°