How to find an angle in a hexagon

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ISEE Upper Level Quantitative Reasoning › How to find an angle in a hexagon

Questions 1 - 1

If the sum of angles in a hexagon is equal to $650^\circ$ , what is the value of the remaining sixth angle?

$70^\circ$

$60^\circ$

$80^\circ$

$100^\circ$

Explanation

The sum of the angles in a polygon can be found using the equation below, in which t is equal to the total sum of the angles, and n is equal to the number of sides.

Given that a hexagon has 6 angles, the total number of angles will be:

$t=4\cdot 180$

Given that 5 of the angles have a sum of 650 degrees, we would subtract 650 from 720, resulting in 70 degrees.

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