Angle C and angle D are supplementary. If the measure of angle D is 84 degrees, what is the measure of angle C?

Suplementary is angles add up to 180 degrees

C=180-D

C=180-84

C=96 degrees

Hope this helped :)

∠C = 159°

∠D = 21°

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