Question

Find the measure or angle xyz

Answer 1

Answer:

The answer to your question is: 85°

Step-by-step explanation:

Data

m∠ xyz = 2m∠x - 9

m∠w = 38°

Process

∠x = (∠xyz + 9) / 2

∠ y = 180 - ∠xyz

∠w + ∠y + ∠x = 180

                             

Substitution              38 + (180 - ∠xyz) +   (∠xyz + 9) / 2 = 180

                                 76 + 360 - 2∠xyz + ∠xyz + 9 = 360

Simplify

                                 85 - 2∠xyz + ∠xyz = 0

                                  85 = ∠ xyz