MAth question need help

Question

two angles are supplementary. One angle is 19 times more than the other angle. What is the larger angle?



Answer 1

Two angles... lets call them A and B respectively.

Because the two angles are suppleentary, that means they add up to 180 degrees.

So, A + B = 180

Since, one of the angles is 19 times more than the other angle:

A = 19B

Thus:

substitute A in the expression A + B = 180 to get 19A + A = 180

Solving for A:

20A = 180

A = 9

Because 9 degrees is obviously the smaller angle, the other angkes is 19 times greater. So,

Angle B = 171 degrees

The larger angle is 171 degrees.