PLEASE TELL ME THIS

Question

In ⊙L, what is m∠MNP?

A. 73

B. 107

C. 110

D. 146

Answer 1

Another way:

m angle Q = 1/2 m arc MNP

since m arc MNP = m arc MN + m arc NP

m angle Q = 1/2 (m arc MN + m arc NP)

m angle Q given as 73., m arc MN given as 84, so:

73 = 1/2 (84 + m arc NP)

146 = 84 + m arc NP

62 = m arc NP

the circle is 360 degrees so:

m arc MQ + m arc MN + m arc NP + m arc QP = 360

m arc MQ given as 70 and m arc MN given as 84 and m arc NP computed as 62 so:

70 + 84 + 62 + m arc QP = 360

m arc QP = 360 - 70 - 84 - 62 = 144

m angle NMP = 1/2 measure of intercepted arc = 1/2 m arc MQP

since arc MQP = m arc MQ + m arc QP

m angle NMP = 1/2 (m arc MQ + m arc QP)

since m arc MQ give as 70 and m arc QP computed as 144

m angle MNP = 1/2 (70 + 144)

m angle MNP = 107

Answer 2

Hello Humar,

I've made a video to help you out with this problem. I hope you find it useful!

-Rossina :)