Homework Help: Geometry

Posted by Anonymous on Sunday, October 21, 2012 at 10:50pm.

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 - Steve, Monday, October 22, 2012 at 4:43am
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°

Answer this Question

Related Questions

geometry - angle A, B, C, D are related the measure of anle B is 1/2 the measure...
geometry - how do you find the measure of angle t if if the measure of angle t ...
geometry - I need help with this question. "The measure of the supplement ...
math geometry - in a triangle, the measure of the first angle is four times the ...
Geometry - the measure of the supplement of an angle is 40 more than two times ...
Geometry. Please help. - 1) Two angles are complementary. The measure of one ...
Geometry - measure of angle 3=6x, measure of angle KAT=90-x measure of angle 1=...
Geometry - Five times the measure of an angle is 48 more than the measure of its...
Math - Angle 3 and angle 4 form a linear pair. The measure of angle 3 is four ...
algebraic equation and inaqualities - in a triangle XYZ,the measure of angle Y ...

For Further Reading

First Name:
School Subject:
Answer: