SOLUTION: Angle C and Angle D are supplementary. The measure of Angle D is eight times the measure of Angle C. Find angle C and angle D.

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Question 645246: Angle C and Angle D are supplementary. The measure of Angle D
is eight times the measure of Angle C. Find angle C and angle D.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Supplementary angles are pairs of angles that add up to 180 degrees.
given:
Angle C and Angle D+ are supplementary...=>...C%2BD=180
The measure of Angle D+ is eight times the measure of Angle C.
D=8C+.....substitute in C%2BD=180
C%2B8C=180.....solve for C
9C=180
C=180%2F9
highlight%28C=20%29.........now find D+
D=8C+
D=8%2A20+
highlight%28D=160+%29