Question

NEED HELP FAST Angle K measures 67º and angle L measures 119°. What are the measures of angles M and N? m = 61o and m = 113o m = 67o and m = 119o m = 113o and m = 61o m = 119o and m = 67o

Answer 1

C. <m = 113* and <m = 61*

Answer 2

C.
`\angle M=113^(o)` and
`\angle N=61^(o)`

Step by step explanation:

Since we know that if a quadrilateral is inscribed inside of a circle then opposite angles of quadrilateral are supplementary.

We can see that angle M is opposite angle of angle K.

`\angle K+\angle M=180^(o)`

`67^(o)+\angle M=180^(o)`

`\angle M=180^(o)-67^(o)`

`\angle M=113^(o)`

Therefore, measure of angle M is 113 degrees.

We can see that angle N is opposite angle of angle L.

`\angle L+\angle N=180^(o)`

`119^(o)+\angle N=180^(o)`

`\angle N=180^(o)-119^(o)`

`\angle N=61^(o)`

Therefore, measure of angle N is 61 degrees.