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Five angles of a hexagon have measures 100°, 110°, 120°, 130°, and 140°.

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What is the measure of the sixth angle? 

asked Nov 13, 2014 in GEOMETRY by anonymous

1 Answer

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The angles are 100o, 110o, 120o, 130o and 140o

Let remaining angle = x.

In a hexagon number of sides n = 6

Sum of interior angles = (6 - 2)180o

= 720o

x + 100o + 110o + 120o + 130o + 140o = 720o

x + 600o = 720o

x = 720o - 600o

x = 120o

Measure of sixth angle is 120o .

answered Nov 13, 2014 by david Expert

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