Question

what is the sum of measures of its exterior angle ​

Answer 1

Step-by-step explanation:

sum of the angles in a hexagon is 720°

(n-2)×180° = (6-2)×180° = 4×180° = 720°

that means each angle is 720/6 = 120°

now angle a + angle p = 180° ( angles on a straight line is 180°)

as we know angle a is 120°

120° + angle p = 180°

angle p is 60°

then angle q = angle r = angle x = angle y = angle z = 60°

1. sum of exterior angles is 60°+60°+60°+60°+60°+60°= 360°
2. yes x=y=z=p=q=r because given hexagon has equal interior angles that means we have equal exterior angles too
3. exterior angle is 60° and interior angle is 120°