Question

∠1 and ∠2 are supplementary angles. ∠ 1 = x - 19 ∠ 2 = x - 17

Answer 1

∠1 and ∠2 are supplementary angles, or they equal 180° (supplementary = 180°)

∠1 = x - 19
∠2 = x - 17

Plug in the corresponding expressions with the angles.

(x - 19) + (x- 17) = 180

Combine like terms

x + x = 2x
-19 - 17 = -36


2x - 36 = 180

Isolate the x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

2x - 36 (+36) = 180 (+36)

2x = 180 + 36

2x = 216

Divide 2 from both sides to isolate the x

2x/2 = 216/2

x = 216/2

x = 108

Plug in 108 for x

∠1 = (108) - 19
∠1 = 89°
∠2 = (108) - 17
∠2 = 91°

hope this helps