Question

If m, arc, M, L, equals, 44, degreesm
ML
⌢
=44
∘
and m, arc, D, R, equals, 136, degreesm
DR
⌢
=136
∘
, find m, angle, Tm∠T.

Answer 1

Since the measure of angle T is half the sum of the measures of arcs ML and DR, we can calculate it as follows:

m∠T = 0.5 * (m arc ML + m arc DR)
m∠T = 0.5 * (44 + 136)
m∠T = 0.5 * 180
m∠T = 90 degrees

Therefore, the measure of angle T is 90 degrees.