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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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