Question

Circle P has tangents XY and ZY and chords WX and WZ, as shown in this figure. The measure of

Answer 1

Answer

Option C is correct.

Angle XYZ = 40°

Explanation

The angle inscribed in a corner touching the circumference of the circle is related to the angle subtended at the center of the circle.

So,

Angle ZPX = 2 [Angle ZWX]

Angle ZPX = 2 (70°)

Angle ZPX = 140°

Then, the angle subtended at the center of a circle and the angle at the tangent outside the circle sum up to give 180°

Angle ZPX + Angle XYZ = 180°

140° + Angle XYZ = 180°

Angle XYZ = 180° - 140°

Angle XYZ = 40°

Hope this Helps!!!