e EDF= Measure of angle DFG

Answer:

b.22.

Step-by-step explanation:

We are given that quadrilateral DEFG is a rectangle.

We know that every angle of reactangle is of 90 degrees.

We are given that

Measure of angle EDF=5x-3

Measure of angle DFG=3x+7

We know that every every angle of rectangle is equal.

Measure of angle EDF=Measure of angle DFG

5x-3=3x+7

5x-3x-3=7

By using subtraction property of equality

2x-3=7

By simplification

2x=7+3

By using subtarction property of equality

2x=10

x=frac{10}{2}

By using division property of equality

x=5

By simplification

Substitute the value x=5 then

Measure of angle EDF= 5times 5-3

Measure of angle EDF=25-3

By simplification

Measure of angle EDF=22

Hence, the measure of angle EDF=22^{circ}.