3 years ago

What’s the measure of angle F?

Mathematics

1 answer:

Naily [24]3 years ago

3 0

Answer:

F = 105

Step-by-step explanation:

The sum of the interior angles of a polygon with n sides is (n – 2)180.

This polygon has 6 sides so the sum of the interior angles is (6-2) * 180 =

720

Add up the angles

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

Combine like terms

4x +220 = 720

Subtract 220 from each side

4x+220-220 = 720-220

x = 500

Divide each side by 4

4x/4=500/4

x = 125

We want to find angle F

F = x-20

= 125-20

105

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