For a pair of supplementary angle , the magnitude of one is 40° more than that of other. find the two angles
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Step-by-step explanation:
It is difficult to find the value of two angles with only one information about the angles. I can assume that the remaining two angles are equal and thus, following will be the solution.
We know that, sum of all angles of a triangle measure 180° .
∴ Let the two angles be x each.
∴40°+2x°=180°
Subtracting 40 from both sides, we get,
∴2x°=140°
Dividing the equation by 2, we get,
∴x=70°
Hence, if we assume that the angles are the same, both of them will measure 70° each.
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