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 18 14 98 72
Since angles 1 and 3 are a vertical pair, they are congruent. This means that angle 1 is also 98°.
From the given information, we know that angle 1 is equal to (4x+26)°.
Setting up an equation, we have:
98 = 4x + 26
Subtracting 26 from both sides, we have:
72 = 4x
Dividing both sides by 4, we have:
18 = x
Therefore, the value of x is 18.