Question

1. use parallelogram pqrs to answer the following questions. which equation can help you find the value of y? select what is the value of y? select

Explanation:

Step1: Identify equal opposite sides

In parallelogram PQRS, opposite sides are equal: \(PS = QR\) and \(PQ = SR\). So \(13x + 15 = 19x - 9\).

Step2: Solve for x

Rearrange: \(15 + 9 = 19x - 13x\) → \(24 = 6x\) → \(x = 4\).

Step3: Use consecutive angles property

Consecutive angles in a parallelogram are supplementary: \((4y + 7) + (10y - 37) = 180\).

Step4: Simplify and solve for y

Combine terms: \(14y - 30 = 180\) → \(14y = 210\) → \(y = 15\).

Answer:

15