Question

M∠ABC=(6x+8)° and m∠DEF=(12x−8)°. If ∠ABC and ∠DEF are supplementary, what is the measure of each angle?

A) m∠ABC = 68°; m∠DEF = 122°
B) m∠ABC = 47°; m∠DEF = 122°
C) m∠ABC = 47°; m∠DEF = 112°
D) m∠ABC = 68°; m∠DEF = 112°

Answer 1

D is correct

Explanation:

Supplemental angles add to 180

6x + 8 + 12x -8 = 180 Combine line terms

18x = 180 Divide both sides by 18

x = 10

Substitute 10 in for x

ABC

6x + 8

6(10) + 8

60 + 8

68

DEF

12x - 8

12(10) - 8

120 - 8

112

Answer 2

d is the correct answer

Explanation:

m∠ABC = 68°; m∠DEF = 112°