Two angles are supplementary if their sum is 180 degrees

Question

larger angle measures four degrees more than 7 times the measure of a smaller angle. If x represents the smaller angle find the measure of both

 

Answer 1

Step 1:

The smaller angle is .

The larger angle is 4 more than the 7 times of smaller angle.

Its algebraic expression is .

The two angles are supplementary angles, so their sum is .

The smaller angle is .

The large angle is .

Substitute in .

The larger angle is .

solution:

The smaller angle is .

The larger angle is .