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in quadrilateral DEFG below, DG is parallel to EF what is the measure of F

In Quadrilateral DEFG Below DG Is Parallel To EF What Is The Measure Of F class=

Sagot :

Quadrilateral are shapes with four sides

The measure of F is 95 degrees

How to determine the measure of F

Given that lines DG and EF are parallel, then we have:

[tex]x + x + 10 =180[/tex]

Evaluate the like terms

[tex]2x = 170[/tex]

Divide through by 2

[tex]x = 85[/tex]

From the figure, we have:

[tex]F =x + 10[/tex]

So, we have:

[tex]F =85 + 10[/tex]

[tex]F =95[/tex]

Hence, the measure of F is 95 degrees

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