Question

find m∠f in parallelogram efgh.

m∠f = \boxed{}^\circ

submit

Explanation:

Step1: Use consecutive angles property

In a parallelogram, consecutive angles are supplementary, so their sum is $180^\circ$.
$$3a + (8a - 7) = 180$$

Step2: Simplify and solve for $a$

Combine like terms and isolate $a$.
$$11a - 7 = 180$$
$$11a = 187$$
$$a = \frac{187}{11} = 17$$

Step3: Calculate $m\angle F$

Substitute $a=17$ into $3a$.
$$m\angle F = 3 \times 17$$

Answer:

$51$