Question

Angles A and B are complementary and angles B and C are supplementary. If angle B is 5 times larger than angle A what are the measures of all 3 angles?

Answer 1

What do "complementary" and "supplementary" mean in this context?

The measure of angle A plus the measure of angle B is/are ... what?

Translate "If angle B is 5 times larger than angle A" into an equation.

You can eliminate "the measure of angle B" by using the above fact.  B= ??

This leaves you with just 2 variables:  A and C.  
Write 2 equations in A and C and solve them for A and C.