In a geometric figure two intersecting lines creating four angles. If ∠1 and ∠3 are a vertical pair, m∠1=(4x+26)° , and m∠3=98° , what is the value of x ?(1 point)
Responses
1414
7272
9898
18
To find the value of x, we need to use the property that vertical angles are congruent, meaning they have the same measure.
In this case, since ∠1 and ∠3 are a vertical pair, their measures are equal. So, we have the equation:
m∠1 = m∠3
Substituting the given values, we have:
(4x+26)° = 98°
Now, we can solve for x:
4x + 26 = 98
Subtracting 26 from both sides:
4x = 72
Dividing both sides by 4:
x = 18
Therefore, the value of x is 18.