In a 6-sided polygon,the first two angles are equal the third angle is twice the equal angles,while the last angle is a right angle .find the value of each angle

Answer 1

Let's denote the measure of the equal angles as x.

Given that the third angle is twice the equal angles, it is equal to 2x.

Since the sum of all angles in a polygon is equal to (n-2)(180), where n is the number of sides, we can set up an equation:

x + x + 2x + 90 = (6-2)(180)

4x + 90 = 4*180

4x + 90 = 720

4x = 630

x = 630/4

x = 157.5

Therefore, each of the equal angles is 157.5 degrees, the third angle is 2x = 315 degrees, and the last angle is a right angle, which is 90 degrees.