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

Find The Measure Of The Three Missing Angles In The Parallelogram Below class=

Sagot :

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

According to definition of parallelogram

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

[tex]\\ \rm\hookrightarrow z=103[/tex]

  • x+103=180
  • x=77°

And

  • y=x=77
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