In a geometric figure two intersecting lines creating four angles. If 21 and 23 are a vertical pair, m<1 = (4x + 26) • , and m. L3 = 98°
, what is the value of x? (1 point)
In a geometric figure, vertical angles are congruent. Therefore, if angle 21 and angle 23 are a vertical pair, then they are congruent. This means that m<21 = m<23.
Since m<21 = (4x + 26) and m<23 = 98°, we can set up the equation (4x + 26) = 98.
Subtracting 26 from both sides of the equation, we have:
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.