Question

In the diagram shown , find the size of angle x​

Answer 1

x = 110°

Explanation:

The sum of the interior angles of a polygon is

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

Here n = 6, thus

sum = 180° × 4 = 720°

Sum the given angles and equate to 720

125 + x + 130 + 90 + 165 + 100 = 720, that is

610 + x = 720 ( subtract 610 from both sides )

x = 110°