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(C) Two angles are said to be complementary if their sum is $90^{\circ}$.Given that $\angle A + \angle B = 90^{\circ}$.Also,the ratio $\angle A : \ang

Vedclass · Accepted Answer

$\angle A = 15^{\circ}, \angle B = 75^{\circ}$

Vedclass · Answer

(C) Two angles are said to be complementary if their sum is $90^{\circ}$.Given that $\angle A + \angle B = 90^{\circ}$.Also,the ratio $\angle A : \angle B = 1 : 5$. Let $\angle A = x$ and $\angle B = 5x$.Substituting these into the sum equation: $x + 5x = 90^{\circ}$.$6x = 90^{\circ}$.$x = 90^{\circ} / 6 = 15^{\circ}$.Therefore,$\angle A = 15^{\circ}$ and $\angle B = 5 	imes 15^{\circ} = 75^{\circ}$.

$\angle A$ and $\angle B$ are complementary angles. If $\angle A : \angle B = 1 : 5$,then find $\angle A$ and $\angle B$.

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