Question

The dotted lines show how to cut the pie. Identify m∠LPM.

The figure shows a circle. Points L, K, N, M lie on the circle. Chords L N and K M intersect at point P. The measure of arc L M is 40 degrees. The measure of arc K N is 80 degrees.

answers:
m=40
m=120
m=20
m=60

Answer 1

60

Explanation:

`(1)/(2) 80`
`40\\`

`(1)/(2) 40` 20

LKM=20

40+20+mLPK=180

LPK=120

120+LPM=180

LPM=60