Respuesta :

ALin03

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°


midknight9

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°.

Otras preguntas