How do I solve this problem?

Question

Two positive angles are said to be complementary if their measures add up to 90 deg.

Angles A and B are complementary angles. If the measure of angle A is 30 deg. more than the measure of angle B, find the measure of the two angles.

Answer 1

Let angle B = x

Let angle A = x + 30

 

Set the equation based on the understanding of complementary angles.

 

x + x + 30 = 90

 

 

Solve for x.

 

2x + 30 = 90

 

2x = 60

 

x = 30

 

 

Now we substitute this value of x into the variables.

 

Angle B = 30 degrees

Angle A = 60 degrees

 

 

These angles add up to 90 degrees.