Question

10. Rosa is calculating the measure of an interior

angle of a regular polygon with 22 sides.
Which expressions can she use to find the
angle measure? Select all that apply.
(20 • 180°) , 22
(24 • 180°) , 22
(20 • 180°) , 20
[(22 + 2) • 180]° , 22
[(22 - 2) • 180]° , 22

Answer 1

20 × 180° / 22

[(22 - 2) × 180°] / 22

Step-by-step explanation:

20 × 180° / 22

[(22 - 2) × 180°] / 22

Answer 2

Answers: Choice A and choice E.

Step-by-step explanation:

The formula to get the sum of all interior angles of a polygon is

S = 180(n-2)

where n is the number of sides and S is the sum of the angles.

We then divide that over n to get the measure of each interior angle. This applies for regular polygons only.

i = interior angle

i = 180(n-2)/n

Now plug in n = 22.

i = 180(n-2)/n

i = 180(22-2)/22

i = 180(20)/22

i = (20*180)/22

which appears to match with choices A and E. This is assuming the comma should be a division symbol.