Question

Use the diagram and equations below to match the following angles with their correct measures.



Given ∠Z = 2b + 6 and ∠Y = 3b - 1.

1. ∠ W
130°
2. ∠ X
140°
3. ∠ Y
50°
4. ∠ Z
40°

Answer 1

From the diagram Y and Z are complementary, so
(2b + 6) + (3b − 1) = 90
5b + 5 = 90 → b = 17.

Then
∠Z = 2(17) + 6 = 40°
∠Y = 3(17) − 1 = 50°.

That leaves ∠W = 130° and ∠X = 140°.

Final matches:
1. ∠W = 130°
2. ∠X = 140°
3. ∠Y = 50°
4. ∠Z = 40°