Question

Find the measure of the three missing angles in the parallelogram below.

Answer 1

Answer: x = 77 degrees, y = 77 degrees, z = 103 degrees

Step-by-step explanation:

Since y and 103 are essentially same side interior angles, they must add up to 180. Therefore, y = 180-103 = 77 degrees.

Opposite angles of a paralellogram are equal.

Therefore, x = y = 77 degrees and z = 103 degrees

Answer 2

According to definition of parallelogram

• Consecutive angles of a parallelogram have sum 180°
• Opposite angles are equal
• Opposite sides are equal

$\\ \rm\hookrightarrow z=103$

• x+103=180
• x=77°

And

• y=x=77