Question

4. Angles C and D are supplementary angles

with a sum of 1809. If the measure of Angle o
is 33 more than six times the measure of Angle
D, write and solve a system of equations to
find the number of degrees in each angle,
20
2D
Number 4

Answer 1

∠C = 159°

∠D = 21°

Step-by-step explanation:

∠C + ∠D = 180 (1)

∠C = 33 + 6∠D (2)

Substituting (2) to (1):

180 = 33 + 6∠D + ∠D

= 33 + 7∠D

180 - 33 = 7∠D

147 = 7∠D

21 = ∠D

If ∠D = 21,

∠C + 21 = 180

∠C = 180 - 21

∠C = 159