Question

What is the value of x

Answer 1

Answer: x = 60

Step-by-step explanation: Notice that these two angles are vertical angles.

Whenever two lines intersect, a pair of vertical angle is always formed.

Now, vertical angles are always congruent.

So we can setup the equation 2x + 24 = 144.

Solving from here, we first subtract 24 from both sides to get 2x = 120.

Now dividing both sides by 2, we find that x = 60.

So x = 60.

Answer 2

Answer:

c. 60°

Step-by-step explanation:

$(2x +24)\° = 144\°\\\\2x+24\°=144\°$

Collect like terms and simplify

$2x\° =144\°-24\°\\\\2x\°=120\°$

Divide both sides of the equation by 2 and simplify

$\frac{2x}{2} = \frac{120}{2} \\\\x =60\°$