# [SOLVED] Geometry Test Review Ahhhhhh!

• Sep 18th 2007, 10:08 AM
IXISMALLSIXI
[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
• Sep 18th 2007, 10:41 AM
ticbol
Quote:

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.
• Sep 18th 2007, 10:43 AM
red_dog
Let \$\displaystyle x\$ be the angle.
Then, the supplement is \$\displaystyle 180^{\circ}-x\$ and the complement is \$\displaystyle 90^{\circ}-x\$.

We have \$\displaystyle 180^{\circ}-x=6(90^{\circ}-x)\$
Now, solve for \$\displaystyle x\$.