Question

Angle A and angle C are vertical angles. If m∠A=(3x+7)∘ and m∠C=(x+53)∘, what is the value of x

Answer 1

Since it is a given that the angles are vertical, then that means they have to be congruent or = to each other so we can now set up an equation:

3x+7=x+53

Now we need to get the variable alone on one side so subtract 7 from the left (remember what you do, you must do to both sides)

3x=46

Now we can divide by three to get x alone

x=15.333333333 or rounded to 15.33

Answer 2

Vertical angles are equal

3x+7=x+53
Subtract x from both sides
2x+7=53
Subtract 7 from both sides
2x= 46
X=23