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 9898 7272 1414 18
Since ∠1 and ∠3 are a vertical pair, they are congruent. Therefore,
m∠1 = m∠3 = 98°.
However, the given information states that m∠1 = 4x + 26°.
Setting them equal to each other, we can solve for x:
4x + 26° = 98°
Subtracting 26° from both sides:
4x = 98° - 26°
4x = 72°
Dividing both sides by 4:
x = 72° / 4
x = 18°
Therefore, the value of x is 18.