# A hexagon has five angles that measure 140° each. What is the measure of the sixth angle?

Mar 10, 2018

${20}^{o}$

#### Explanation:

The answer is ${20}^{o}$ because:

• Total sum of interior angle: ${720}^{o}$
• Each angle measures: ${140}^{o}$
• 6 side: ?

5 sides:

$140 \cdot 5 = 700 \text{ }$ or $\text{ } 140 + 140 + 140 + 140 + 140 = 700$

We will add up all the sides to get the total of all the 5 sides.

6 side: $720 - 700 = 20$

We will now subtract the total of all the 5 sides, which is ${700}^{o}$, from the total angle of the hexagon, which is ${720}^{o}$, to get the 6th side.

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Mar 10, 2018

20

#### Explanation:

Sum of internal angles in a hexagon is 720
Five angles is 140x5=700
Remaining angle is 720-700=20