Answer:
∠ W = 51°
Step-by-step explanation:
Since WX is the diameter , then
∠ WYX = 90° ( angle in a semicircle )
The sum of the 3 angles in a triangle = 180° , then
x + x + 12 + 90 = 180
2x + 102 = 180 ( subtract 102 from both sides )
2x = 78 ( divide both sides by 2 )
x = 39
Then
∠ W = x + 12 = 39 + 12 = 51°
