91Ó°ÊÓ

Find the measure of each interior angle using the given information. Polygon \(A B C D E\) with the interior angle measures shown in the table. \begin{array}{|c|c|}\hline \text { Ample } & \text { Margica(t) } \\\\\hline A & 6 x \\\\\hline B & 4 x+13 \\\\\hline C & x+9 \\\\\hline D & 2 x-8 \\\\\hline E & 4 x-1 \\\\\hline\end{array}.

Explain why the Interior Angle Sum Theorem and the Exterior Angle Sum Theorem apply only to convex polygons.

The sum of the interior angles of a polygon is twice the sum of its exterior angles. What type of polygon is it? (A). pentagon (C). octagon (B). hexagon (D). decagon

REASONING Draw a counterexample to the statement If the diagonals are congruent, the quadrilateral is a rectangle.

OPEN ENDED Draw two congruent right triangles with a common hypotenuse. Do the legs form a rectangle? Justify your answer.

The measure of an interior angle of a regular polygon is given. Find the number of sides in each polygon. $$144$$

Find the sum of the measures of the interior angles of each convex polygon. 17 -gon

A landscape designer is putting black plastic edging around a rectangular flower garden that has length 5.7 meters and width 3.8 meters. The edging is sold in 5 -meter lengths. Find the perimeter of the garden and determine how much edging the designer should buy.

JOBS Jamie works at a gift shop after school. She is paid \(\$ 10\) per hour plus a \(15 \%\) commission on merchandise that she sells. Write an equation that represents her earnings in a week if she sold \(\$ 550\) worth of merchandise.