Q:
# What Is the Same Side Interior Angles Theorem?

**The same-side interior angles theorem states that two same-side interior angles are supplementary when two parallel lines are intersected by the transverse line.** Same-side interior angles are two angles that are on the same side of the transverse line and on the interior of the two parallel lines. The three lines form eight angles, four surrounding each intersecting line.

Supplementary angles, when their degree measurements are added together, total 180 degrees. For instance, two same-side interior angles can measure 120 and 60 degrees, or their values can be algebraic expressions, such as (2x + 43) and (2x - 3).

Likewise, four pairs of two angles in this set are congruent, meaning they have the same measurements. All four angles that meet add up to 360 degrees. Opposite angles, or alternate angles, have the same value, except they open in opposite directions of the intersected lines. A transverse line, or transversal, is a line that intersects two or more other lines in the same plane.

Real-world applications of this theorem include city planning, parking lot layouts, angles of wooden beams in a house and window panes with intersecting lines. City streets intersect at parallel angles, and construction crews must take angles into account when building sidewalks and infrastructure improvements around an intersection.

Learn more about Trigonometry-
Q:
## What Is the Side Splitter Theorem?

A: The side splitter theorem states that if a line parallel to one side of a triangle intersects with the other two sides, it divides those two sides proporti... Full Answer >Filed Under: -
Q:
## What Is the Pythagorean Theorem Used For?

A: The Pythagorean Theorem is used to find the length of the hypotenuse of a right triangle, a calculation which affords many practical uses, such as within t... Full Answer >Filed Under: -
Q:
## What Are the Applications of Pythagorean Theorem in Daily Life?

A: A real world example of the pythagorean theorem is used when determining the diagonal viewing size of a television. The length and height of the screen are... Full Answer >Filed Under: -
Q:
## What Are Coterminal Angles?

A: Coterminal angles are angles in standard position that share the same terminal side. To find a coterminal angle, simply add or subtract 360 degrees from an... Full Answer >Filed Under: