Question

∠1 and ∠2 are supplementary. If m∠1 = (3x - 17)° and m∠2 = (5x + 21)°. Find the value of x.

Answer 1

x = 22

Explanation:

Supplementary angles add to 180

<1+ <2 =180

(3x - 17) + (5x + 21) = 180

Combine like terms

8x +4 = 180

Subtract 4 from each side

8x +4-4 = 180-4

8x = 176

Divide each side by 8

8x/8 = 176/8

x = 22

Answer 2

Explanation:

∠1 + ∠2 = 180 {supplementary}

3x - 17 + 5x + 21 = 180

Add the like terms

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22