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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.

A20
B22
C18

Verified Answer :

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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=\(22^{\circ}\).