Question

Find the measure of the indicated angle in each parallelogram.

Answer 1

Given:

KLMN is a parallelogram

`m\angle N=67^o`

We know that the sum of adjacents angles of a parallelogram is equal to 180 degrees.

`m\angle N\text{ and m}\angle M\text{ are adjacent angles.}`
`m\angle N+m\angle M=180^o`

`\text{ Substitute }m\angle N=67^o,\text{ we get}`

`67^o+m\angle M=180^o`

`m\angle M=180^o-67^o`

`m\angle M=113^o`

Hence the answer is

`m\angle M=113^o`