7.1 Angles of Polygons

7.1 Angles of Polygons

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​Objective and Standards

• ​Students will be able to identify diagonals, calculate interior angles, calculate exterior angles, and classify polygons.

​

MA.912.GR.1.4

Prove relationships and theorems about parallelograms. Solve mathematical and real-world problems involving postulates, relationships, and theorems of parallelograms.

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​Vocabulary

In a polygon:

• ​Consecutive vertices are two vertices that are endpoints of the same side.

• A diagonal is a segment that joins two nonconsecutive vertices.​

Multiple Choice

What is the formula for the sum of interior angles in a polygon? #5

• 180(n−2)

• 180(n−2)/n

• 360

• 360/n

Multiple Choice

What is the sum of interior angles for a pentagon? #7

• 900

• 540

• 360

• 108

Multiple Choice

What is the sum of interior angles for an octagon? #8

• 1440

• 1080

• 1800

• 135

Multiple Choice

The sum of the interior angles of a polygon is 1620°.  How many sides does the polygon have? #30

• 8

• 11

• 3

• 16

Multiple Choice

Find the value of x. #11

• 99 degrees

• 199 degrees

• 261 degrees

• 360 degrees

Multiple Choice

Find the value of x. #18

• $$84\degree$$

• $$90\degree$$

• $$92\degree$$

• $$101\degree$$

​Classifying polygons

​Classifying Polygons (review from 1.4)

Multiple Choice

Find the value of x. #14

• 106

• 53

• 233

• 126

Multiple Choice

Find the value of x. #15

• 198

• 162

• 132

• 66

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