Question

PQRS IS A RHOMBUS WITH ANGLE PQR =55* AND ANGLE PRS .

Answer 1

Given
∠PQR = 55⁰.

Therefore,
∠PQR + ∠QRS = 180⁰{ Sum of adjacent angles
is 180⁰}.
∠55⁰ + ∠QRS = 180⁰
Thus,
∠QRS = 180⁰- 55⁰= 125⁰.

Join P and Q to form a diagonal of PQRS rhombus.

Therefore,
∠PRS = ½ ∠QRS. { Diagonals of rhombus bisects the angles into two equal halves.

So, ∠PRS = ½ × 125⁰.
So, ∠PRS = 62 ½⁰. or 62.5⁰. ANS.

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∠PRS =

Answer 2

Answer:

62.5 degree

Step by step explanation:

Opposite angles of a rhombus are equal therefore angle PQR = angle PSR is equals to 55 degree

360 - 110 = 250degree

=> angle SPQ = angle SRQ = 125degree

diagonal of a Rhombus bisect the angle therefore angle PRS = 62.5 degree

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