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 ?
If ∠1 and ∠3 are a vertical pair, then they are congruent. Therefore, the measure of ∠1 is equal to the measure of ∠3. Since m∠3 = 98°, we can set up the following equation:
4x + 26 = 98
Simplifying the equation, we get:
4x = 98 - 26
4x = 72
Dividing both sides of the equation by 4, we find:
x = 72/4
x = 18
Therefore, the value of x is 18.