Question

Circle A is intersected by LM←→ and MO←→−.

Answer 1

Answer:

${\angle}LMO=47.5^{\circ}$

Step-by-step explanation:

We know that the circumscribed angle is the half of the difference of the major arc and the minor arc, that is

$CA=\frac{1}{2}(major arc- minor arc)$

Substituting the values from the figure given, we get

${\angle}LMO=\frac{1}{2}(arcLO-arcLN)$

${\angle}LMO=\frac{1}{2}(155^{\circ}-60^{\circ})$

${\angle}LMO=\frac{1}{2}(95^{\circ})$

${\angle}LMO=47.5^{\circ}$

Thus, the measure of ${\angle}LMO$ is $47.5^{\circ}$.

Answer 2

47.5 Formula is: 1/2 (angle LO- angle LN)