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.

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=(10)/(2)`

By using division property of equality

`x=5`

By simplification

Substitute the value x=5 then

Measure of angle EDF=
`5* 5-3`

Measure of angle EDF=25-3

By simplification

Measure of angle EDF=22

Hence, the measure of angle EDF=
`22^(\circ)`.