Question

If the measure of uv is 84 what is the measure of YUV

Answer 1

A: 42....................

Answer 2

<YOV=138 degrees.

Explanation:

Angle made at center is equal to the intercepted arc.

< VZU is the angle made by arc UV at center,<VZU=84 degrees.

Triangle UVZ is an isosceles triangle with equal sides ZV and ZU.

< ZUV=(180-84)÷2=48 degrees ( Base angles of an isosceles triangle are equal.)

<YUZ=90 degrees (Tangent is perpendicular to the linecircle)

<YUV=<ZUV+<YUZ=48+90=138 degrees.

<YUV= 138 degrees.