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

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- Sep 18th 2007, 11:08 AMIXISMALLSIXI[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, 11:41 AMticbol
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, 11:43 AMred_dog
Let be the angle.

Then, the supplement is and the complement is .

We have

Now, solve for .