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10. If ABCD is a parallelogram, find m

Sagot :

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Answer: The angle C measures 120 degrees.

Step-by-step explanation:

For a polygon of n side, the sum of internal angle, in degrees  is given by:

S = (n - 2) x 180

Parallelogram

4 sides, so

S = ( 4 - 2) * 180 = 360

Two pair of equal angles

B and D measure 60

A and C measure x. so

2ₓ + 2 * 60 = 360

2× = 240

× = 240/2

× = 120

The angle C measures 120 degrees

Hope this helps! :)

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