Thread: [SOLVED] Geometry Test Review Ahhhhhh!

Suppliment of an angle is 6 times as large as the comp of the angle. find the angle, comp, and supp

Originally Posted by IXISMALLSIXI

Suppliment of an angle is 6 times as large as the comp of the angle. find the angle, comp, and supp

Let A = angle, C = complement, S = suplement.

S = 6C ----------(1)
A +C = 90 -------(2)
A +S = 180 ------(3)

(3) minus (2),
S -C = 90 ---------(4)

(4) minus (1),
-C = 90 -6C
-C +6C = 90
5C = 90
C = 90/5 = 18 degrees -----------answer.

Substitute that in (4),
S -18 = 90
S = 90 +18 = 108 degrees -----------answer.

Substitute that in (3),
A +108 = 180
A = 180 -108 = 72 degrees --------answer.

Let be the angle.
Then, the supplement is and the complement is .

We have
Now, solve for .