Question

What is the value of x?

Answer 1

x equals 141°

Explanation:

The sum of interior angles of this figure is 900°. This was found using the formula (n-2) x 180 where 'n' means number of sides. This figure has 7 sides. So the sum of interior angles would be:-

(7 - 2) x 180°

5 x 180°

= 900°

All the given angles + x gives 900°.

So, to find 'x' we can do the following:-

148° + 125° + 122° + 131° + x° + 126° + 107° = 900°

759 + x = 900

x = 900 - 759

x = 141°

Answer 2

141°

Explanation:

The sum of the internal angles can be calculated using the following formula:

(number of sides - 2) x 180°

This polygon has 7 sides, so (7 - 2) x 180° = 900° total internal angle.

Subtract the other given angles from 900°.

(900 - 131 - 122 - 125 - 148 - 107 - 126)° = 141°