Question

Angle 1 and angle 2 are complementary angles. The measure of angle 1 is 85 degrees. What is the measure of angle 2?

Answer 1

m∠2=5°

Step-by-step explanation:

Two angles are said to be complementary if they add up to 90 degrees.

If angles 1 and 2 are complementary, then:

`m\angle1+m\angle2=90\degree`

Substitute the given value of angle 1:

`\begin{gathered} 85\degree+m\angle2=90\degree \\ m\angle2=90\degree-85\degree \\ m\angle2=5\degree \end{gathered}`

The measure of angle 2 is 5 degrees.