Question

In parallelogram ABCD, m Find m

Answer 1

Answer:

The angle C measures 120 degrees.

Step-by-step explanation:

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

$S = (n-2) \times 180$

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

$2x + 2*60 = 360$

$2x = 240$

$x = \frac{240}{2}$

$x = 120$

The angle C measures 120 degrees.