Find the measure of the indicated angle in each parallelogram.

Question

asked Sep 10, 2023 139k views

1 Answer

Shepard · Answer 1 · 2023-09-14T10:02:45+0000

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

$m\angle M=113^o$