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