let being these two angles : angle A and angle B
we know that complementary angles assumed make 90 degree so
m<A +m<B = 90 degrees
and given again angle A is proportional inverse by 0,25 and angle B by 0,1(6)
A = 0,25 *x
B = 0,1(6)*x
A+B=90
0,25x +0,1(6)x =90
x(0,25 +0,1(6)) = 90
x(0,41(6))=90
x = 90/(0,41(6)) = 216,3
measure angle A = 0,25*216,3 = 54,075 degrees
measure angle B = 90 -54 = 36 degrees
