Angle A measures (2x + 23)°. Angle B is supplementary to angle A and measures (4x + 46)°. Write and solve an equation to find th

Question

Stels [109]

3 years ago

9

Angle A measures (2x + 23)°. Angle B is supplementary to angle A and measures (4x + 46)°. Write and solve an equation to find th

e value of x.

Mathematics

2 answers:

sladkih [1.3K] · Answer 1 · 2022-03-22T15:16:38+03:00

sladkih [1.3K]3 years ago

8 0

2x+23+4x+46=180
6x+69=180
6x=180-69
6x=111
x=111/6
x=18.5

KatRina [158] · Answer 2 · 2022-03-22T12:59:41+03:00

KatRina [158]3 years ago

4 0

Supplementary angles add up to 180 degrees.

2x + 23 + 4x + 46 = 180

Combine like terms:

2x + 4x = 6x
23 + 46 = 69

6x + 69 = 180

Subtract 69 to both sides:

6x = 111

Divide 6 to both sides:

x = 18.5