Prove that opposite angles of an inscribed shape are supplementary, (equaling to 180 degrees). in other words, if a quadrilateral was inscribed in a circle, prove how the opposite angles are equal to 180 degrees. note: you cannot say "because of the inscribed angles conjecture."

A good way of understanding why opposite angles in an inscribed shape are supplementary is by splitting up the shape itself. For example, if you had a quadrilateral inscribed within a circle, you could "cut" up the shape by the diagonal into two triangles. If you put the opposite angles next to each other (by lining up the triangles), you would notice a straight line. This line would prove that the opposite angles are equal to 180 degrees.

add 5 subtract 1

step-by-step explanation:

so, converting firstly the mixed fractions to improper fractions and then "adding".