Question

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=
(x-60)
B
(x-40) 130°
(x-20)°
F
110°
E
C
120° D

Answer 1

100

Explanation:

As stated, the interior angles formed by the sides of a hexagon have measures that sum to 720°.

To find the measure of angle A, we first need to find value of x:

110 + 120 + 130 + x-40 + x-60 + x-20 = 720 add like terms

3x + 240 = 720 subtract 240 from both sides

3x = 480 divide both sides by 3

x = 160 now replace x with 16 to find angle A

x-60 is 160 - 60 = 100