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1 vote
What is the value of x

What is the value of x-example-1

2 Answers

4 votes

Answer:

c. 60°

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


(2x)/(2) = (120)/(2) \\\\x =60\°

User Holli
by
5.5k points
2 votes

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.

User JeffRSon
by
5.8k points