Question

Angle A and angle B are complementary angles. If the

measure of angle A is 42°, find the measure of angle B.

Answer 1

`\Huge \boxed{\angle B = 48 \° }`

`\rule[225]{225}{2}`

Explanation:

Two angles are complementary when they add up to 90 degrees.

`\angle A + \angle B = 90`

`\angle B = 90 - \angle A`

`\angle B = 90 - 42`

Subtracting the values,

`\angle B = 48`

`\rule[225]{225}{2}`

Answer 2

B = 48

Explanation:

Complementary angles add to 90

A+B = 90

42+B = 90

Subtract 42 from each side

B = 90-42

B = 48