The interior angles formed by the sides of a hexagon have measures that sum to 720°. What is the measure of angle A?

Enter your answer in the box.

m∠A= ?°

The interior angles formed by the sides of a hexagon have measures that sum to 720 What is the measure of angle A Enter your answer in the box mA class=

Respuesta :

The sum of the interior angles of a hexagon is 720 degrees. 

The figure shows that:

720 = ∠A + ∠B + ∠C + ∠D + ∠E + ∠F
720 = (x-60) + (x-40) + 130 + 120 + 110 + (x-20)

solve for x: 

x = 160. Therefore, ∠A = (x-60) = 100
the answer is
 ​ m∠A= 100 °
Have a great day!!!