Question

The Measure Of (Arc)XY is 94*. What is the measure of XYZ, The Tangent-chord Angle?

Answer 1

Answer:

Option A. 47°

Step-by-step explanation:

Since m(Arc)XY = 94°

Therefore angle at the center = 94°

Now in triangle formed at the center  

∠XOY = 94°

Now ∠OXY+∠XYO = 180 - ∠YOX = 180 - 94 = 86

and we know ∠OXY = ∠XYO

therefore ∠XYO = 86/2 = 43°

Now ∠XYO + ∠XYZ = 90°

∠XYZ = 90 - ∠XYO = 90 - 43 = 47°

Option A 47° is the answer.

Answer 2

Hello,

The tangent-chord angle is the half of the center angle
==>94°/2=47°
Answer A