IXL - Find missing angles in quadrilaterals (Geometry practice)

A parallelogram has one angle that measures 150°. What are the measures of the other three angles in the parallelogram?

°, °, and °

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question

One angle of a parallelogram measures 170°. What are the measures of the other three angles in the parallelogram?

°, °, and °

key idea

Opposite angles of a parallelogram are congruent.

The measures of the angles of a parallelogram add up to 360°.

solution

One of the missing angles is opposite the 170° angle. Since opposite angles are congruent, this missing angle is 170°.

Find the other two missing angles. Set the sum of the angle measures equal to 360° and solve.

170° + 170° + n + n

360°

Add

340° + 2n

360°

Add

Subtract 340° from both sides

360° − 340°

Subtract 340° from both sides

Simplify

20°

Simplify

Divide both sides by 2

10°

Divide both sides by 2

Two of the missing angles are 10°.

So, the missing angles are 170°, 10°, and 10°.

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Not feeling ready yet? These can help:

Q.10Find missing angles in quadrilaterals I

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