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In degrees what is the measure of MFE

In Degrees What Is The Measure Of MFE class=

Sagot :

There's a lot going on in this problem, but I think I know how to solve it. So let's first address the fact that opposite angles are equal.

Let's also address the fact that (x + 6) + (3x - 4) add up to equal 90. So with that information, we can write a problem.

x + 6 + 3x - 4 = 90

Add the x's.

4x + 6 - 4 = 90

Combine the 6 and 4.

4x + 2 = 90

Subtract the two on both sides.

4x = 88

Finally, divide by 4.

x = 22

But by no means are we done yet. We still have to find out the entire angle MFE's measure, so we'll substitute 22, our new x value, into the equation for MFE - (x + 6)

22 + 6 is the new equation.

22 + 6 = 28

Angle MFE is 28°. I took the liberty of solving for the other angle, too, so I could check the answer. And as of my checking, this answer is correct because

62 + 28 = 90

I hope this answers your question.

-Toremi