Question

The sum of the interior angles of a polygon is
26 right angles. How many sides does the polygon have?
A 45 B 35 C 25 D15 E5​

Answer 1

Answer:

D) 15

Step-by-step explanation:

The sum of the interior angles of a polygon is given by

$(n - 2) \times 180$

We have that, the sum of the interior angles of a polygon is

26 right angles. We want to find n, the number of sides.

We substitute into the formula to get:

$(n - 2) \times 180 = 26 \times 90$

Divide through by 90

$2(n - 2) = 26$

Divide through by 2

$n - 2 = 13$

$n = 13 + 2$

$n = 15$