The sum of the two angles is 100 and the difference between their supplementary angles is 100. Find the quantities of the angles.
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80° and 100°
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SOLUTION
GIVEN
The difference between their supplementary angles is 100°
TO DETERMINE
The quantities of the angles.
EVALUATION
Let first angle = x
Another angle = x + 100°
So by the given condition
x + x + 100° = 180°
⇒ 2x + 100° = 180°
⇒ 2x = 80°
⇒ x = 40°
Hence the required angles are 40° & 140°
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