Question

If m, arc, E, Z, equals, 92, degreesm
EZ
⌢
=92
∘
and m, arc, V, J, equals, 156, degreesm
VJ
⌢
=156
∘
, find m, angle, V, U, Jm∠VUJ.

Answer 1

Since the measure of arc E Z is 92 degrees and the measure of arc V J is 156 degrees, we can find the measure of angle V U J by using the formula:

m angle V U J = 1/2 * (m arc EZ + m arc VJ)

m angle V U J = 1/2 * (92 + 156)

m angle V U J = 1/2 * 248

m angle V U J = 124 degrees

Therefore, the measure of angle V U J is 124 degrees.