AB is tangent to the circle at B. m∠A = 14 and (the figure is not drawn to scale)
A) Find x
B) Find y
m<A = (1/2)(arc BC - arc BD) arc BD = x
14 = (1/2)(112 - x) multiply both sides by 2
28 = 112 - x add x to both sides, subtract 28 from both sides
x = 112 - 28 = 84°
y = (1/2)CD
And CD = 360 - BC - BD = 360 - 112 - 84 = 164
So
y = (1/2)(164) = 82°