The same-side interior angles theorem states that the sum of same-side interior angles is 180 degrees. When two parallel lines are intersected by a transversal line, they form four interior angles. The two non-adjacent interior angles on the same side of the transversal are supplementary. To find a missing angle in parallel lines, highlight the angle(s) that you already know and use same side interior angles to solve for it.
Consecutive interior angles are the pair of non-adjacent interior angles that lie on the same side of the transversal. They both add to 180°, so a missing angle can be solved for by subtracting the known angle from 180°.
To find the value of x, set up an equation and solve for x using the same-side interior angles. For example, if m ∠ 3 = (3 x + 12) ∘ and m ∠ 5 = (5 x + 8) ∘, these same-side interior angles will be supplementary.
In this article, you can learn the concept of the same-side interior angles theorem in geometry through solving various examples provided. The same-side interior angles are supplementary to one another, meaning they have a sum of 180°.
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