Question

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

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​ m∠F= ​

Answer 1

The value of a whole is equal to the sum of its parts, so thus:
Interior angle measure = angle 1 + angle 2 + angle 3 .... + angle n

A hexagon has a total interior angle measure of 720° and we know the measure of all the other angles so insert into the above equation:


`720=110+130+120+(x-20)+(x-60)+(x-40)\\\\720=360+3x-120\\\\720+120-360=3x\\\\3x=480\\\\x=160` Angle F = (x - 20) F = 160 - 20 F = 140°