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Properties of parallelograms
PLEASE HELP

Properties of parallelograms PLEASE HELP-example-1

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Answer:

m∠Q = 109°

m∠QRT = 109°

x = 4

Explanation:

1). "Opposite angles of a parallelogram are equal"

By this property,

m∠Q = m∠S = 109°

2). "Opposite sides of a parallelogram are parallel and equal in measure"

By this property,

RQ║ST and diagonal RT is a transversal line.

m∠QRT = ∠SRT = 30° [Alternate interior angles]

3). "Opposite sides of a parallelogram are parallel and equal in measure"

RS = QT

2x = 8

x = 4

User Eric Goncalves
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