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

1 answer

Since <1 and <3 are a vertical pair, they are congruent angles and therefore have the same measure.

Given that m<1 = (3x - 25) degrees and m<3 = 104 degrees, we can set up an equation to find the value of x:

(3x - 25) = 104

Adding 25 to both sides:

3x = 129

Dividing by 3:

x = 43

Therefore, the value of x is 43.