M2 CH7: Quadrilaterals and Other Polygons

Find the measure of each interior angle and each exterior angle of a regular 30-gon.

Use the Polygon Interior Angles Theorem to find the measures of the polygons below. Use it to find the missing angle measure. (Hint: start with (n - 2) * 180°)

Use the Exterior Angles Theorem to find the value of x.

Use the Theorems of Parallelograms to find the missing values of a and b below.

Use the Parallelogram Diagonals Theorem to find the missing values.

Find the values of x and y that make the quadrilateral a parallelogram.

Find the measures of the numbered angles in rhombus DEFG.