Two angles of a hexagon are 120 oand 100 o . If the remaining four angles are equal, then find its smallest angle.
Question
Two angles of a hexagon are 120 oand 100 o . If the remaining four angles are equal, then find its smallest angle.
Solution
A hexagon has a total of 720 degrees.
Step 1: Add the two given angles: 120 degrees + 100 degrees = 220 degrees.
Step 2: Subtract the sum of the given angles from the total degrees of a hexagon: 720 degrees - 220 degrees = 500 degrees.
Step 3: Divide the remaining degrees by the number of remaining angles to find the measure of each of the remaining angles: 500 degrees ÷ 4 = 125 degrees.
So, the smallest angle of the hexagon is 100 degrees.
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