Question

Two 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 )

Answer 1

linear pair $={180}^0$

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

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

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

$A={144}^o$

$B={36}^o$

$A-B={108}^o$