How to find an angle in a polygon

Practice Questions

PSAT 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

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

4

Pentagon is regular. If diagonal is drawn, which of the following describes Quadrilateral ?

5

Octagon

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

6

Pentagon

Note: Figure NOT drawn to scale.

Refer to the above figure. is equilateral and Pentagon is regular.

Evaluate .

7

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?

8

A regular polygon has a measure of for each of its internal angles. How many sides does it have?

9

If angle A and angle C are complementary angles and B and D are supplementary angles, which of the following must be true?

10

What is the measure of each angle in a regular octagon?

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