Question

11. In AWTY, if mZW is five less than twice mZY and mZX is 21 more than m_Y find the measure

of each angle.

Answer 1

9514 1404 393

Answer:

angles (W, X, Y) = (77°, 62°, 41°)

Explanation:

Given:

ΔWZY

∠W = 2(∠Y) -5°

∠X = ∠Y +21°

Find:

∠X, ∠Y, ∠W

Solution:

Using angle measures in degrees, we have ...

∠X + ∠Y + ∠Z = 180

(∠Y +21) +∠Y + (2(∠Y) -5) = 180

4(∠Y) +16 = 180 . . . . . simplify

∠Y +4 = 45 . . . . . . . . . divide by 4

∠Y = 41 . . . . . . . . . . . . subtract 4

∠W = 2(41) -5 = 77

∠X = 41 +21 = 62

The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.