Question

HURRY PLEASE!!! 20 pts.

In the diagram of circle A, what is m∠LMN?

Answer 1

90 degrees would be the answer

Answer 2

m∠LMN=
`90\°`

Explanation:

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

In this problem

m∠LMN ---> is the external angle

m∠LMN=
`(1)/(2)[major\ arc\ LN- minor\ arc\ LN]`

we have that

`major\ arc\ LN=270\°`

`minor\ arc\ LN=360\°-270\°=90\°`

substitute

m∠LMN=
`(1)/(2)[270\°- 90\°]`

m∠LMN=
`(1)/(2)[180\°]`

m∠LMN=
`90\°`