in a geometric figure two intersecting likes create four angles. if angle 1 and angle 3 are a vertical pair, m-angle 1 = (4x + 26)°, and m-angle 3 = 98°, what is the value of x?
A 18
B 98
C 72
D 14
To solve this problem, we need to use the property that vertical angles are always congruent.
We know that angle 1 and angle 3 are a vertical pair, so they are congruent. Therefore, we can set up the equation:
4x + 26 = 98
Next, we can solve for x:
4x + 26 = 98
4x = 72
x = 18
Therefore, the value of x is 18, so the answer is A) 18.