Solving Problems Involving Sides and Angles of a Polygon

Find the measure of each interior angle of a regular polygon with 16 sides.

• 156.5°

• 157.5°

• 158.5°

• 159.5°

If each exterior angle of a regular polygon is 45°, how many sides does the polygon have?

• 8

• 10

• 12

• 14

How many degrees are there in each exterior angle of a regular pentagon?

• 70°

• 71°

• 72°

• 73°

A convex hexagon has exterior angles that measure 48°, 52°, 55°, 62° and 68°. What is the measure of the exterior angle of the sixth vertex?

• 60°

• 65°

• 70°

• 75°

Susan drew a regular dodecagon and measured one of its interior angles. She got 150°. What is the sum of the measure of the interior angles of this regular polygon?

• 2180°

• 1800°

• 1180°

• 1080°

What is the measure of the third angle of a triangle, if the measures of the two angles are 50° and 58°.

• 32°

• 42°

• 72°

• 82°

In a right triangle, the measure of one acute angle is 43°. Find the measure of the other acute angle.

• 27°

• 47°

• 87°

• 137°

A decorative pentagonal pool is bordered by five rows of bushes, as shown. Which is the measure of the smallest exterior angleof the pool?

• 40^o

• 30^o

• 20^o

• 10^o

Which is the m $\angle FAI$  ?

•  $85^o$  

•  $95^o$ 

•  $105^o$ 

•  $115^o$ 

Which is the value of x in the given figure?

• 20

• 18

• 16

• 14