Answer:
x = 18
Step-by-step explanation:
m∠1 & m∠3 are vertical angles. By definition of vertical angles, their measurements will be the same.
It is given that:
m∠1 = 4x - 14
m∠3 = 58°
Set the two angles equal to each other:
4x - 14 = 58
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 14 to both sides of the equation:
4x - 14 (+14) = 58 (+14)
4x = 72
Next, divide 4 from both sides of the equation:
(4x)/4 = (72)/4
x = 72/4 = 18
18 is your answer for x.
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