Question

Need help ASAP! Directions in picture;)

Answer 1

Answer:

x= 61°

Step-by-step explanation:

If we see the question properly we get to know that the vertically opposite angles are on the same side of the transversal.

And,

The measure of 2 angles on the same side of the transversal has a measure of 180°.

So,

According to the question

$x - 11 + 2x + 8 = 180$

$= > 3x = 180 - 8 + 11$

$= > 3x = 172 + 11$

$= > x = \frac{183}{3}$

$= > x = 61$

So the value of x is 61°

Hope it helps you!!

#IndianMurga(. ❛ ᴗ ❛.)

Answer 2

Answer:

$x=61$

Step-by-step explanation:

We can find the angle directly above the $2x+8$.

We know that because they both lie on a straight line, the other angle is $180-(2x+8)=172-2x$.

Aha! We have a path to the solution!

$172-2x=x-11$ because of the parallel line angle theorem(I forget what it's called).

We then add $2x$ and $11$ to both sides to get $183=3x$.

Lastly, we divide by $3$ to get $61=x$.

So, $\boxed{x=61}$ and we're done!