Question

w6ZThe measure of arc XY is 85 degrees. The measure of arc WZ is 25 degrees. What is the measure of angle 32760 degrees12.5 degrees

Answer 1

30degrees

Step-by-step explanation:

Using the theorem;

The angle at the vertex is half the difference of the angles at its intercepted arc. Mathematically,

<3 = 1/2(arc XY - arc WZ)

Given

arc XY = 85degrees

arc WZ = 25 degrees

Substitute the given values into the formula;

<3 = 1/2 (85-25)

<3 = 1/2(60)

<3 = 60/2

<3 = 30degrees

Hence the measure of <3 is 30degrees