Angle Measures of Polygons Assignment and Quiz

What is the sum of the measures of the interior angles of a 12-gon?

1800°

In the regular decagon shown, what is the measure of angle 1?

36

How can you best describe the outside of one of these objects using polygons? The object has __ sides, so it is _____________. It appears to be __________ because the sides and angles appear to be congruent.

6, a hexagon regular

Three interior angles of a quadrilateral measure 55°, 117°, and 120°. What is the measure of the fourth interior angle?

68°

What is the value of x?

72

What is the measure of angle ACB?

73

What is the value of x? 6 8 10 12

8

Which polygon has an interior angle sum of 1080°?

A

Which polygon has an interior angle sum of 1260°?

C

Which is a correct description of the polygon?

It is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

Which classifications apply to the polygon? Check all that apply.

concave hexagon

What type of polygon is shown? convex heptagon concave heptagon concave octagon convex octagon

concave heptagon

What type of polygon is shown? convex heptagon concave heptagon concave hexagon convex hexagon

convex hexagon

An interior angle of a regular polygon has a measure of 135°. What type of polygon is it?

octagon

Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle?

127°

What is the value of x? 100° 120° 130° 150°

130°

Each angle of a regular octagon has a measure of ___ degrees.

135

What is the sum of the interior angle measures of a regular decagon? What is the measure of each interior angle of a regular decagon?

1440 144

An interior angle of a regular polygon has a measure of 108°. What type of polygon is it? The polygon is

a pentagon