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

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°

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse

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