# Geometry

posted by .

The measure of angle B, the supplement of angle A, is four times the measure of angle C, the complement of angle A.

I need to find the measure of all angles and i have no idea of where to start, any help would be appreciated.

• Geometry -

sure you have an idea. What property do supplementary angles have? They add to 180°. Complementary angles add to 90°.

so, B = 180-A
C = 90-A

B = 4C, so
180-A = 4(90-A)
180-A = 360-4A
3A = 180
A = 60

complement = 30°
supplement = 120°, which is 4 times 30°

## Similar Questions

1. ### algrbra

Complimentary angles add up to 90º So translate the English into Math. if you let the unknown angle be x then "the measure of the compliment of the angle" -----> 90-x "10 degrees less than three times the measure of the angle" …

1) Two angles are complementary. The measure of one angle is 21 more than twice the measure of the other angle. Find the measure of the angles. 2) If a supplement of an angle has a measure 78 less than the measure of the angle, what …
3. ### geometry

find the measure of an anGle if five times the measure of its complement is 24 derees less than twice the measure of its supplement. What is the equation?
4. ### Geometry

the measure of the supplement of an angle is 40 more than two times the measure of the complement of the angle find the measure of the angle
5. ### geometry

Twice the measure of the supplement of an angle is 39 degrees less than five times the complement of the angle. What is the measure of the angle?
6. ### geometry

The measure of the angle’s supplement is 50 degree more than five times that of its complement. Find the measure of the angle described.
7. ### algebra 101

If The sum of the measures of two complementary angles is 90° and If one angle measures 15° more than twice the measure of its complement, find the measure of each angle. What is The measure of one angle is 1 times the measure of …
8. ### geometry

I need help with this question. "The measure of the supplement of an angle is 60 less than three times the measure of the complement of the angle.find the measure of the angle". Please help!!!!
9. ### Algebra

In triangle ABC, the measure of angle B is 8 degrees more than three times the measure of angle A. The measure of angle C is 37 degrees more than the measure of angle A. Find the measure of each angle. What is the measure of angle …
10. ### Geometry

Angle C and Angle D are supplementary angles. If the measure of Angle D is nine less than twice the measure of Angle C, find the measure of Angle D. PLEASE HELP!!! I have no idea where to even start!

More Similar Questions