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

Find the values of the variables in the parallelogram. The diagram is not to scale-example-1
User Jeagr
by
5.8k points

1 Answer

5 votes

Answer:

x=31°, y=52°,z=97°

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.

User Sudoqux
by
4.7k points
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