Question 146556: an angle of x degree has property that its complement is equal to 1/6 of its supplement. Found 2 solutions by Alan3354, MathLover1:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! an angle of x degree has property that its complement is equal to 1/6 of its supplement.
Call the angle A.
The complement is 90-A, and the supplement is 180-A.
So, 180-A = 6(90-A)
180-A = 540-6A
5A = 360
A = 72 degrees
The complement is 18, and the supplement is 108.
You can put this solution on YOUR website! definitions:
Complementary Angles: Two angles that add up to 90°
Supplementary Angles: Two angles that add up to 180°
Given:
an angle of degree
let its complement be degree
let its supplement be degree
so, we have the system:
(1) .(2)
if its complement y is equal to of its supplement, we will have:
substitute with multiply both sides by solve for .substitute into (2)
.(2)
.the angle
its
(1)
.. its
check:
its complement y is equal to of its supplement:
