Question

Quadrilateral DEFG is a rectangle.
If the measure of Angle EDF = 5x-3 and the measure of Angle DFG = 3x+7,
find the measure of Angle EDF.

a. 20
b. 22
c. 18

Answer 1

I hope this helps you

Answer 2

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= $5\times 5-3$

Measure of angle EDF=25-3

By simplification

Measure of angle EDF=22

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