Question

Two angles of a hexagon are 120° and 160°
If the remaining four angles are equal, find
each equal angle.
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Answer 1

Answer:

First you have to find the sum of the interior angle. To do that you would use the formula 180(n-2), n being the number of sides. When you solve that formula you should get that the interior angle is 720. Now, you know the two sides so take 120 and 160 and subtract that from 720. You should come up with 440. Take 440 and divide it by 4, since there are 4 missing sides. You should come up with 110. If you add 160+120+110+110+110+110=720, which is correct! 

Answer 2

$\huge\tt\purple{Answer:}$

Sum of all angles of a hexagon = 720°

Let the other angles be = x, x, x, x

According to the question :-

120°+160°+x+x+x+x=720°

280°+4x=720°

4x=720-280

4x=440°

$\sf{x = \frac{440}{4} }$

x=110

Hence, the measure of the remaining equal angles is 110°