Question

Find the value of x

Thank you anyone helping

Answer 1

x = 112°

Explanation:

This figure shown is a pentagon. The total sum of degrees in a pentagon equals to 540° according to the formula (n - 2)180° where n is the number of sides. (5 - 2)180° = 3 × 180° = 540°.

To find x, we need to subtract all the given angles from 540°.

x = 540° - 130° - 118° - 105° - 75° = 112°

Answer 2

x = 112°

Explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540°

105° + 118° + 75° + 130° = 540°

428° + x = 540° ( subtract 428° from both sides )

x = 112°