How to find an angle in a polygon

Practice Questions

SAT Math › How to find an angle in a polygon

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1

A regular seven sided polygon has a side length of 14”. What is the measurement of one of the interior angles of the polygon?

2

What is the measure, in degrees, of each interior angle of a regular convex polygon that has twelve sides?

3

Find the sum of the interior angles in a nonagon.

4

What is the measure of each central angle of an octagon?

5

What is the average (arithmetic mean) of all 15 interior angles of a quadrilateral, pentagon, and hexagon?

6

Octagon

In the figure above, polygon ABDFHGEC is a regular octagon. What is the measure, in degrees, of angle FHI?

7

Each interior angle of a regular polygon has measure . How many sides does the polygon have?

8

Which of the following cannot be the measure of an exterior angle of a regular polygon?

9

To the nearest whole degree, give the measure of each interior angle of a regular polygon with 17 sides.

10

In triangle ABC, the measure of angle A = 70 degrees, the measure of angle B = x degrees, and the measure of angle C = y degrees. What is the value of y in terms of x?

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