Question

Can you give me the value of the angle by using

13x-49 degrees
7x+29 degrees
the two lines are transversal

Answer 1

To find the value of the angle formed by the two lines, we need to use the fact that when two parallel lines are cut by a transversal, alternate interior angles are congruent.

So, we can set the expressions for the alternate interior angles equal to each other and solve for x:

13x - 49 = 180 - (7x + 29)

Simplifying and solving for x:

13x - 49 = 151 - 7x

20x = 200

x = 10

Now that we have the value of x, we can substitute it into either expression to find the value of the angle:

13x - 49 = 13(10) - 49 = 81 degrees

So the angle formed by the two lines is 81 degrees.