angle P and angle Q are supplementary angles. | vedclass

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(D) Two angles are supplementary if their sum is $180^{\circ}$.Therefore,$\angle P + \angle Q = 180^{\circ}$.Given that $\angle P = 11 \angle Q$.Subst

Vedclass · Accepted Answer

$\angle P = 165^{\circ}, \angle Q = 15^{\circ}$

Vedclass · Answer

(D) Two angles are supplementary if their sum is $180^{\circ}$.Therefore,$\angle P + \angle Q = 180^{\circ}$.Given that $\angle P = 11 \angle Q$.Substituting the value of $\angle P$ in the first equation:$11 \angle Q + \angle Q = 180^{\circ}$$12 \angle Q = 180^{\circ}$$\angle Q = \frac{180^{\circ}}{12} = 15^{\circ}$.Now,find $\angle P$:$\angle P = 11 	imes 15^{\circ} = 165^{\circ}$.Thus,$\angle P = 165^{\circ}$ and $\angle Q = 15^{\circ}$.

$\angle P$ and $\angle Q$ are supplementary angles. If $\angle P = 11 \angle Q$,then find $\angle P$ and $\angle Q$.

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