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(A) Two angles are complementary if their sum is $90^{\circ}$.Given: $\angle X + \angle Y = 90^{\circ}$ and $\angle X = 4 \angle Y$.Substitute the val

Vedclass · Accepted Answer

$\angle X = 72^{\circ}, \angle Y = 18^{\circ}$

Vedclass · Answer

(A) Two angles are complementary if their sum is $90^{\circ}$.Given: $\angle X + \angle Y = 90^{\circ}$ and $\angle X = 4 \angle Y$.Substitute the value of $\angle X$ in the first equation:$4 \angle Y + \angle Y = 90^{\circ}$$5 \angle Y = 90^{\circ}$$\angle Y = 90^{\circ} / 5 = 18^{\circ}$.Now,find $\angle X$:$\angle X = 4 	imes 18^{\circ} = 72^{\circ}$.Thus,$\angle X = 72^{\circ}$ and $\angle Y = 18^{\circ}$.

$\angle X$ and $\angle Y$ are complementary angles. If $\angle X = 4 \angle Y$,then find $\angle X$ and $\angle Y$.

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