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2 years ago

Properties of parallelograms PLEASE HELP

Mathematics

1 answer:

kvv77 [185]2 years ago

3 0

Answer:

m∠Q = 109°

m∠QRT = 109°

x = 4

Step-by-step 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

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To Find:

Mrs. B's age = y =?

her son's age = x = ?

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Let Mrs. B's age be 'y' years

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According to the second given condition,

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