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musickatia [10]
3 years ago
12

Find the values of the variables in the parallelogram. The diagram is not to scale.

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
5 0

Answer:

x=31°, y=52°,z=97°

Step-by-step explanation:

The interior angles of a triangle sum up to 180°

y°+ 31°+ 97°= 180°

y° = 180 - 31° - 97°

y=180°-128°

y° = 52°

Alternative angles are equal

x= 31°

Two opposite angles of a parallelogram are equal

z°= 97°

Therefore x=31°,y=52° and z=97°

The last choice is correct.

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