araceli9603
araceli9603 araceli9603
  • 18-08-2019
  • Mathematics
contestada

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 class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 18-08-2019

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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