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

Answer 1

Since ∠1 and ∠3 are vertical angles, they are congruent. Therefore, we can set up an equation as follows:

∠1 = ∠3

Using the given values, we have:

4x + 26 = 98

Subtracting 26 from both sides gives:

4x = 72

Dividing both sides by 4 gives:

x = 18

Therefore, the value of x is 18.