Question

∠ 1 and ∠ 2 are supplementary angles, if ∠ 1= 2x +31 and ∠ 2 = x + 8. Find the measurement of ∠ 1 and ∠ 2

Answer 1

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

Answer 2

Answers:

angle 1 = 125 degrees

angle 2 = 55 degrees

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Step-by-step 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

• angle 1 = 2x+31 = 2*47+31 = 94+31 = 125 degrees
• angle 2 = x+8 = 47+8 = 55 degrees

As a check, 125+55 = 180 to confirm the answer.