Question

The sum of the measures of the interior angles of a convex polygon is 1800 degrees? How many sides does the

Answer 1

Answer:

12 sides

Step-by-step explanation:

Given

Sum of interior angle = 1800 degrees

Required

Number of sides of the polygon

The sum of interior of a convex polygon is calculated using the following formula:

Sum = (n - 2) * 180

Where n is the number of sides of the polygon.

By substituting 1800 for Sum, we have

$1800 = (n - 2) * 180$

Divide through by 180

$\frac{1800}{180} = \frac{(n - 2) * 180}{180}$

$10 = n - 2$

Add 2 to both sides

$10 + 2 = n - 2 + 2$

$12 = n$

Re order

$n = 12$

Hence, the number of sides of the polygon is 12