Question

In parallelogram ABCD, m Find m

Answer 1

The angle C measures 120 degrees.

Explanation:

For a polygon of n sides, the sum of internal angles, in degrees is given by:

`S = (n-2) * 180`

Parallelogram

4 sides, so

`S = (4-2)*180 = 360`

Two pairs of equal angles

B and D measure 60

A and C measure x. So

`2x + 2*60 = 360`

`2x = 240`

`x = (240)/(2)`

`x = 120`

The angle C measures 120 degrees.