Polygon Sums

The coin shown is in the shape of a regular 11-gon. What is the sum of the measures of the interior angles?

• 1100°

• 1620°

• 1980°

• 3240°

Veronica is installing carpet in a room shaped like the polygon shown below. She needs to know all of the interior angle measures in the room so that she can cut the carpet. What is x in the figure below?

• 32°

• 92°

• 102°

• 122°

An artist created a tessellation by drawing lines of symmetry in a square and then using them to draw a design. What is the sum of the measures of the interior angles of one convex octagon in the design?

• 720°

• 1080°

• 1260°

• 1440°

Given ∠A ≅ ∠C, what is the measure of ∠A?

• 120°

• 210°

• 240°

• 300°

Given the quadrilateral, what is the value of x?

• 16

• 20.7

• 92

• 120

Tags

CCSS.HSG.C.A.3

Given that ∠F≅ ∠D and ∠G ≅ ∠C of polygon ABCDEFG, find the value of x.

• 10

• 16.25

• 7.25

• 15

A convex polygon has only the vertices A, B, C, D, E, F, and G. What is the sum of the measures of the interior angles of this polygon?

• 540°

• 720°

• 900°

• 360°

Solve for x and y.

• x = 90, y = 67

• x = 75, y = 64

• x = 90, y = 64

• x = 75, y = 90

What is the sum of the exterior angles?

• 90 degrees
• 180 degrees
• 540 degrees
• 360 degrees

Tags

CCSS.HSG.CO.A.1

Solve for x

• 45
• 12
• 90
• 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.C.A.2