Question

Find the value of x and the measure of angle Y.

W
00
8
X< 62°
(4x - 2)°
Y
Value: 10
x is equal to
degrees.
Angle Y measures
degrees.​

Answer 1

x is equal to 16 degrees

Angle measures 62 degrees

Explanation:

From Law of Sines:

XW/sin(∠Y) = WY/sin(∠X)

From the picture

XW = 8

WY = 8

∠X = 62°

Replacing into the equation:

8/sin(∠Y) = 8/sin(62°)

∠Y = 62°

Angle Y is also equal to:

∠Y = 4x - 2

62 = 4x - 2

62 + 2 = 4x

64/4 = x

16° = x