Mathematics

# Twp angles form a linear pair. If one of these is one-fourth of the other, find the positive difference between the  two angles.( in degrees )

108

##### SOLUTION
linear pair $= 180^0$

let 'A' be one angle 'B' is second angle $\dfrac{1}{4} A$

$\dfrac{1}{4} A + A = 180^o$

$\dfrac{5A}{4} = 180^o$

$A = 144^o$

$B = 36^o$
$A-B = 108^o$

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