Given: m
KL
=25°, m
MJ
=85°
Find: m∠MEJ

Answer:
30°
Step-by-step explanation:
If the measure of the arc KL is 25°, then the central angle KOL has measure 25° and the inscribed angle KML subtended on the arc KL has the measure 12.5°.
If the measure of the arc MJ is 85°, then the central angle MOJ has measure 85° and the inscribed angle MLJ subtended on the arc MJ has the measure 42.5°.
Thus, the measure of the angle ELM is 180°-42.5°=137.5°.
Consider triangle EML. In this triangle,
m∠MEL=180°-137.5°-12.5°=30°.
Thus, m∠MEJ=30°.
Answer:
30°
Step-by-step explanation:
x=(a-b)/2 because of secants exterior angles
x=(85-25)/2 Substitution
x=60/2 Algebra
x=30° Answer