What is the value of x?

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ALin03 ALin03 · Answer 1 · 2018-09-04T23:36:52+02:00

Since this is a parallelogram and the angles are adjacent to one another, a theorem will prove that the sum of these two angles would equal 180°

Therefore, we can set up this equation:

(2x + 24) + x = 180 ⇒ Remove parentheses

2x + 24 + x = 180 ⇒ Combine like terms

3x + 24 = 180 ⇒ Subtract 24 from both sides

3x = 156 ⇒ Divide both sides by 3

x = 52°

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midknight9 midknight9 · Answer 2 · 2018-09-04T23:38:52+02:00

We are given the values of two angles along two parallel lines.

The relationship of these angles tells us that if we add these two angles, they should equal 180°. So then we can set that equation up:

[tex] (2x+24)+x=180 [/tex]

And then we solve for x:

[tex] (2x+24)+x=180 [/tex]

[tex] 3x+24=180 [/tex]

[tex] 3x=156 [/tex]

[tex] x=52 [/tex]

So now that we know the value of x is 52, we know that the angle whose value is x, is 52°.

To solve for the other angle, we must plug in 52 for x:

[tex] 2x+24 [/tex]

[tex] 2(52)+24 [/tex]

[tex] 104+24=128 [/tex]

And now we know that the value of the other angle is 128°.