Finding measure of an angle when two angles are described in word problem. Angles are supplementary.

angle A and angle B are supplementary. The measure of angle B is equal to four times the complement of Angle A. What is the measure of Angle A?

Tutors, sign in to answer this question.

Shelly J. | Excellent Maths Tutoring for academic successExcellent Maths Tutoring for academic su...

Hi Tiffany,

Angle A and angle B are supplementary

A+B=180° Equation 1

The measure of angle B is equal to four times the complement of angle A

The complement of angle A=90°-A

B=4(90°-A)

B=360°-4A

Substitute the value of B in equation 1

A+360°-4A=180°

-3A=-180°

A=60°

The measure of angle A=60°

B=360°-4A=360°-4(60°)=120°

The measure of angle B=120°

A + B = 180°

B = 4(90°-A)

4A + B = 360°

–A – B = –180°

–––––––––––––

3A = 180°

A = 60°

Thank you so much!!! I appreciate the quick response :)

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

## Comments