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Semmy [17]
3 years ago
13

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

Mathematics
2 answers:
Marianna [84]3 years ago
8 0

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}.

VMariaS [17]3 years ago
6 0

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

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