Question

do you know how?
what must each angle measure be in order for quadrilateral defg to be a parallelogram?
image of parallelogram defg with angle f labeled 115°

1. ( mangle d )
2. ( mangle e )

Explanation:

Step1: Use parallelogram consecutive angles property

In a parallelogram, consecutive angles are supplementary (sum to $180^\circ$). For $\angle D$ and $\angle F$:
$m\angle D + 115^\circ = 180^\circ$

Step2: Solve for $m\angle D$

$m\angle D = 180^\circ - 115^\circ = 65^\circ$

Step3: Use parallelogram opposite angles property

In a parallelogram, opposite angles are equal. $\angle E$ is opposite $\angle F$, so:
$m\angle E = m\angle F = 115^\circ$

Answer:

1. $m\angle D = 65^\circ$
2. $m\angle E = 115^\circ$