In a geometric figure two intersecting lines creating four angles. If Z1 and Z3 are a vertical pair, mL1 = (4x + 26) °, and m L3 = 98°, what is the value of x? (1 point)

O 72
O 98
O 18
O 14

1 answer

Since Z1 and Z3 are a vertical pair, they are congruent angles. Therefore, mL1 = mL3.

We are given that mL1 = (4x + 26) ° and mL3 = 98°.

Setting them equal to each other, 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. The answer is O 18.