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Definitions

Alternate interior angles - Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.

Straight line - A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions thats angle is always going to be 180°.

Solve

since our equation is

[tex](5x-13x)+(8x-2)=180[/tex]

we can solve it

[tex](5x-13)+(8x-2)=180\\13x-15=180\\13x=195\\x=15[/tex]