Question

The measure of an interior angle of a regular polygon is 147 3/11. Find the number of sides in the polygon

Answer 1

the formula for interior angle is \[\large \frac{180(n-2)}{n}\]
where n is the number of sides

so you say the interior angle is 147 3/11

\[\frac{180(n-2)}{n} = 147 \frac{3}{11}\]
\[\frac{180(n-2)}{n} = \frac{1620}{11}\]
\[1980(n-2) = 1620n\]
\[1980n - 3960 = 1620n\]
\[1980n - 1620n = 3690\]
solve for n

Answer 2

10.25?

Answer 3

seems like it

Answer 4

you're right

Answer 5

oh thank u
so do i have to estimate to the nearest tenth so it would be just 10?

Answer 6

depends on your teacher's preference

Answer 7

normally that's fine as is