Answer :

The measure of the side QP and the angle m∠QRP for the rhombus PQRS are 42 and 51° respectively

What is a rhombus

A rhombus is a two-dimensional geometric shape with four equal sides and four equal angles, but the angles are not necessarily 90 degrees. It is a type of parallelogram.

QP = QR = RS = SP

4a - 14 = 3a

4a - 3a = 14 {collect like terms}

a = 14

QP = 3 × 14

QP = 42

2(m∠P) + 2(78) = 360° {sum of interior angles of a quadrilateral}

m∠P = 102°

m∠QRP = 102°/2

m∠QRP = 51°

Therefore, the measure of the side QP and the angle m∠QRP for the rhombus PQRS are 42 and 51° respectively

Read more about rhombus here:https://brainly.com/question/20627264

#SPJ1