If <1 and <3 are a vertical pair , m<1=(4x+26) and m<3=98, what is the Value of x ?

1 answer

Since <1 and <3 are vertical angles, they are congruent, meaning their measures are equal. Thus, m<1 = m<3.

Given that m<3 = 98, we have:

4x + 26 = 98

Subtracting 26 from both sides:

4x = 72

Dividing both sides by 4:

x = 18

Therefore, the value of x is 18.