Find the values of my and n

m=60 and n=24

Step-by-step explanation:

Corresponding Angles:

2m = 4m - 120

-2m = -120

m = 60

Vertical Angles:

4m - 120 = 5n

4(60) - 120 = 5n

240 - 120 = 5n

120 = 5n

5n = 120

n = 24

(This is what I got, I apologize if I'm incorrect)

Last option is correct.

Step-by-step explanation:

A pair of interior and exterior angles which lies to the same side of the transversal is called corresponding angles. The lines make an F - shape. In our case , 2m° and ( 4m - 120) ° are corresponding angles. Also, Remember that corresponding angles are always equal. Now, Let's create an equation and solve for m.

⇢ { Move 4m to left hand side and change it's sign}

⇢ { Subtract 4m from 2m}

⇢ { Divide both sides by -2}

⇢

When two lines intersect, the angles formed opposite to each other are called vertically opposite angles. In our case, ( 4m - 120 )° and 5n° are vertically opposite angles. Vertically opposite angles are always equal. Now, Let's create an equation and solve for m.

We have , m = 60°

⇢ { Plug the value of m}

⇢ { Multiply the numbers : 4 by 60 }

⇢ { Subtract 120 from 240 }

⇢ { Divide both sides by 5 }

⇢

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