SOLUTION: The measure of an angle is 1/4 the measure of its complement. Find the measure of each angle.
Algebra
->
Angles
-> SOLUTION: The measure of an angle is 1/4 the measure of its complement. Find the measure of each angle.
Log On
Geometry: Angles, complementary, supplementary angles
Geometry
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Angles
Question 1045736
:
The measure of an angle is 1/4 the measure of its complement. Find the measure of each angle.
Answer by
ewatrrr(24785)
(
Show Source
):
You can
put this solution on YOUR website!
complementary Angles: one 1/4 the measure of the other:
Let x be the Larger Angle:
x + x/4 = 90°
4x + x 360°
5x = 360°
x = 72° , the larger angle, smaller is 18°
CHECKING
72° + 18° = 90° CHECKS!