In a geometric figure two intersecting lines create four angle. ∠1 and ∠3 are a vertical pair, mL1=(4x+26) , and mL3=98, what is the value of X?

Answer 1

Since ∠1 and ∠3 are a vertical pair, they are congruent. Therefore, mL1 = mL3. We are given that mL3 = 98, so we have:

4x + 26 = 98

Subtracting 26 from both sides, we get:

4x = 72

Dividing both sides by 4, we find:

x = 18

Therefore, the value of x is 18.