Respuesta :

A rhombus is a quadrilateral whose all sides are of equal length. The measure of the ∠QPR is 42°.

What is a Rhombus?

A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other.

The diagonals of a rhombus intersect each other at 90°. Therefore, the measure of ∠QTR can be written as,

∠QTR = 90°

(6y+6) = 90°

6y = 90 - 6

6y = 84

y = 14

Also, the diagonals of the rhombus divide the angle into two equal angles, therefore,

∠QPR = ∠SPR

∠QPR = 3y

∠QPR = 3(14)

∠QPR = 42°

Hence, the measure of the ∠QPR is 42°.

Learn more about Rhombus:

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