Question

The larger of two supplementary angles is 6 less than 5 times the smaller. Find the measure of the two angles.

Answer 1

Explanation:

Let the two angles be x and y

Then: y = 5x - 6

And x + y = 180° (the of supplementary angle is 180°)

Putting y = 5x - 6

x + 5x - 6 = 180

6x = 180 + 6

6x = 186

x = 186/6

x = 31°

And y = 5x - 6

y = 5(31) - 6

y = 155 - 6

y = 149°

The angles are 31° and 149°