In a geometric figure two intersecting lines creating four angles. If <1 and 23 are a vertical pair, m/1 = (4x +26) °, and m/3 = 98°, what is the value
of x? (1 point)
O 98
O 18
O 14
O 72
Since <1 and <23 are a vertical pair, they are congruent. Therefore, m/1 = m/23.
m/1 = (4x + 26) °
m/23 = 98 °
Since m/1 = m/23, we can set the two expressions equal to each other:
(4x + 26) ° = 98 °
Now we can solve for x:
4x + 26 = 98
4x = 72
x = 18
Therefore, the value of x is 18.