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
9898
7272
18
To solve this problem, we first need to remember that vertical angles are congruent, meaning they have the same measure. This means that m∠1 = m∠3.
Since m∠1 = (4x + 26)° and m∠3 = 98°, we can set up the equation:
4x + 26 = 98
Subtracting 26 from both sides, we get:
4x = 72
Dividing by 4, we get:
x = 18
Therefore, the value of x is 18.
Correct answer: 18