Answers:
angle 1 = 125 degrees
angle 2 = 55 degrees
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Explanation:
Supplementary angles add to 180
(angle 1) + (angle 2) = 180
(2x+31) + (x+8) = 180
3x+39 = 180
3x = 180-39
3x = 141
x = 141/3
x = 47
Use this to find the angle measures
As a check, 125+55 = 180 to confirm the answer.
Answer:
125 , 55
Step-by-step explanation:
If sum of two angles is 180, then they are called supplementary angles
∠1 + ∠2 = 180
2x + 31 + x +8 = 180
2x + x + 31 + 8 = 180
Combine like terms
3x + 39 = 180
Subtract 29 from both sides
3x = 180 - 39
3x = 141
Divide both sides by 3
x= 141/3
x = 47
∠1 = 2x + 31
= 2*47 + 31
= 94 + 31
∠1 = 125
∠2 = x + 8
= 47 + 8
∠2 = 55
