To find the value of x, we need to set up an equation based on the fact that angles 1 and 3 are a vertical pair. Vertical angles are always congruent, meaning they have the same measure.
We are given that m1 = (4x + 26) degrees and m3 = 98 degrees, and we know that angles 1 and 3 are equal. So, we can set up the following equation:
4x + 26 = 98
Now, we can solve for x:
4x = 98 - 26
4x = 72
x = 72 / 4
x = 18
Therefore, the value of x is 18. So, the answer is A. 18.
In a geometric figure two intersecting lines creating four angles. If 1 and 3 are a vertical pair, m 1 = (4x + 26) degrees, and m 3 = 98 degrees, what is the value of x?
A. 18
B. 98
C. 14
D. 72
1 answer