two complemantary angles differ by 12°,find the angles.
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Step-by-step explanation:
complementary angles add to 90°
let the angles be x and y
so, x+y = 90
and, as given, x-y = 12
by adding both equations,
(x+y) + (x-y) = 90+12
2x = 102
x = 51
y = 90-x
y = 90-51
y = 39
therefore, the two angles are 51° and 39°.
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