Math, asked by guest4582, 3 months ago

In a Trapezium PQRS, PQ is 12cm, RS = 5cm, PQ is parallel to SR, PS = QR = 8cm. If angle R is 130 degree then angle P is ​

Answers

Answered by raj611892
3

Answer:

angle p is also 130 degree

Answered by steffiaspinno
4

`It will be 50 degrees.

Step-by-step explanation:

Since the two non-parallel sides are equal(PS =QR = 8cm) and two parallel sides are not equal(PQ = 12cm and RS = 5cm). Thus, PQRS is an isosceles Trapezium.

It is the property of such a trapezium that opposite angles are supplementary and base angles are of the same measurement.

Thus, Angle P + angle R = 180

Substituting the value of angle R = 130, we get,

Angle P + 130 = 180

Angle P = 180 - 130

Angle P =  50 degrees

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