Question

pqrs is a parallelogram; what should a equal?
q r
(6x + 13)°
6b 11b − 10
(7x − 5)°
p s
2a + 9
4a + 1

Explanation:

Step1: Use parallelogram side property

In a parallelogram, opposite sides are equal. So $QR = PS$, which gives:
$4a + 1 = 2a + 9$

Step2: Isolate variable $a$

Subtract $2a$ from both sides:
$4a - 2a + 1 = 9$
$2a + 1 = 9$
Subtract 1 from both sides:
$2a = 9 - 1$
$2a = 8$

Step3: Solve for $a$

Divide both sides by 2:
$a = \frac{8}{2}$

Answer:

$4$