Street Intersection Three streets form an intersection. ∠C and ∠D are complementary angles. If the measure of ∠C is x° and the measure of ∠D is 66° greater than ∠C. What is the value of x? Use pencil and paper. Find the measures of ∠C and ∠D. The figure is not drawn to scale.

Question

Street Intersection  Three streets form an intersection. ∠C and ∠D are complementary angles. If the measure of ∠C is x° and the measure of ∠D is 66° greater than ∠C. What is the value of​ x? Use pencil and paper. Find the measures of ∠C and ∠D. The figure is not drawn to scale.

Please give and explanation for how you found the answer. Thank you!

R_scott · Answer

complementary angles sum to 90º C + D = 90 substituting ... x + x + 66 = 90 ... x = 12

Michael · Answer

30

Street Intersection Three streets form an intersection. ∠C and ∠D are complementary angles. If the measure of ∠C is x° and the measure of ∠D is 66° greater than ∠C. What is the value of​ x? Use pencil and paper. Find the measures of ∠C and ∠D. The figure is not drawn to scale.

Street Intersection Three streets form an intersection. ∠C and ∠D are complementary angles. If the measure of ∠C is x° and the measure of ∠D is 66° greater than ∠C. What is the value of x? Use pencil and paper. Find the measures of ∠C and ∠D. The figure is not drawn to scale.