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:
[tex]S = (n-2) \times 180[/tex]
Parallelogram
4 sides, so
[tex]S = (4-2)*180 = 360[/tex]
Two pairs of equal angles
B and D measure 60
A and C measure x. So
[tex]2x + 2*60 = 360[/tex]
[tex]2x = 240[/tex]
[tex]x = \frac{240}{2}[/tex]
[tex]x = 120[/tex]
The angle C measures 120 degrees.
