In a geometric figure two intersecting lines create four angles, where <1 and <3 are a vertical pair. If m <1 = (3x - 25) ° and mL3 = 104°

, what is the value of x?

1 answer

Since <1 and <3 are a vertical pair, they are congruent. Therefore, m<1 = m<3.

Given that m<3 = 104°, we can set up the equation: 3x - 25 = 104.

Simplifying the equation, we have: 3x - 25 + 25 = 104 + 25.

This simplifies to: 3x = 129.

Dividing both sides of the equation by 3, we find: x = 129/3 = 43.

Therefore, the value of x is 43. Answer: \boxed{43}.