Step-by-step explanation:
1).
The sum of interior angles of a polygon is given by
( n - 2) × 180°
where
n is the number of sides
From the question, the number of sides is 50 that's n = 50 .
Substitute the value into the above formula and solve.
We have
(50 - 2 ) × 180 = 48 × 180
The answer is 8640°
2).
The sum of interior angles of a polygon is given by
( n - 2) × 180°
where
n is the number of sides
From the question the sum of the angles is 2160°
Substitute the values into the above formula and solve for the number of sides.
That's
2160 = (n - 2) × 180
2160 = 180n - 360
180n = 2160 + 360
180n = 2520
Divide both sides by 180
n = 14
Therefore the number of sides is 14
3).
The exterior angle of a polygon can be found by using the formula
[tex] \frac{360}{n} [/tex]
where
n is the number of sides
From the question the number of sides is 6 that's n = 6.
Substitute the value into the above formula and solve.
We have
[tex] \frac{360}{6} [/tex]
We have the final answer as
60°
Hope this helps you.
