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

What is the measure of angle F?

Enter your answer in the box.

​ m∠F= ​
°

An irregular hexagon labeled ABCDEF with angle A parenthesis x minus sixty parenthesis degrees, angle B parenthesis X minus forty parenthesis degrees, angle C one hundred thirty degrees, D one hundred twenty degrees, E one hundred ten degrees, F parenthesis x minus twenty parenthesis degrees

The interior angles formed by the sides of a hexagon have measures that sum to 720 What is the measure of angle F Enter your answer in the box mF An irregular h class=

Respuesta :

Answer:

​ m∠F = ​ 140°

Step-by-step explanation:

Let's recall that the interior angles formed by the sides of a hexagon have measures that sum to 720°.

Therefore:

130 + 120 + 110 + (x - 20) + (x - 60) + (x - 40) = 720

360 + x - 20 + x - 60 + x - 40 = 720

3x = 720 - 240

3x = 480

x = 160

What is the measure of angle F?

m∠F = ​ 160 - 20

​ m∠F = ​ 140°

Answer:

140

Step-by-step explanation: