Question

7.
$m\angle s=$
$m\angle r=$
$qr=$
$qp=$

Explanation:

Step1: Identify shape properties (parallelogram)

In a parallelogram, opposite sides are equal, and consecutive angles are supplementary (sum to $180^\circ$).

Step2: Find $QP$ (opposite to $RS$)

$QP = RS = 7$

Step3: Find $QR$ (opposite to $SP$)

$QR = SP = 15$

Step4: Find $m\angle R$ (opposite to $\angle P$)

$\angle R$ is opposite to $\angle Q$? No, consecutive to $\angle Q$: $m\angle R = 180^\circ - 136^\circ = 44^\circ$

Step5: Find $m\angle S$ (opposite to $\angle Q$)

$m\angle S = m\angle Q = 136^\circ$

Answer:

$m\angle S=136^\circ$
$m\angle R=44^\circ$
$QR=15$
$QP=7$