In a geometric figure two intersecting lines create four angles where <1 and <3 are a vertical pair of m<1=(3x-25) and m<3=104 what is the value of x?

Answer 1

In a geometric figure, vertical angles are congruent, which means that their measures are equal.

In this case, we have that m<1 = (3x-25) and m<3 = 104.

Since <1 and <3 are vertical angles, their measures are equal. Therefore, we can set up the following equation:

(3x-25) = 104

To solve this equation for x, we can add 25 to both sides:

3x = 104 + 25
3x = 129

Finally, we divide both sides by 3 to isolate x:

x = 129/3
x = 43

Therefore, the value of x is 43.