Complementary, Supplementary & Vertical Angles

Question

10. Angles C and D are supplementary. If m < c 4x+9 and m < D=8x+3 what is the measure of each angle.

Answer 1

Supplementary angles add up to 180

The equation would be m<c+m<D=180

4x+9+8x+3=180

So will combine like terms first

12x+12=180-next subtract by 12

-12 -12

12x=168-finally divide by 12 to get x

/12 /12

x=14- Will substitute this value back into expressions to find angle c and d

m<c=4x+9=4(14)+9=56+9=65 degrees

m<d=8x+3=8(14)+3=112+3=115 degrees

These are correct because 115+65=180 total