Mathematics: 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

i odnt know i just need the points Step-by-step explanation:...

Quadrilateral defg is a rectangle. if the measure

flamingo2279

31.12.2021

e EDF= Measure of angle DFG

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= $22^{\circ}$ .

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