If angle P - angle Q = 50^{circ},then find th | vedclass

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(A) From the given figure,$\angle P$ and $\angle Q$ form a linear pair on a straight line.Therefore,$\angle P + \angle Q = 180^{\circ}$.We are given t

Vedclass · Accepted Answer

$115^{\circ}, 65^{\circ}$

Vedclass · Answer

(A) From the given figure,$\angle P$ and $\angle Q$ form a linear pair on a straight line.Therefore,$\angle P + \angle Q = 180^{\circ}$.We are given that $\angle P - \angle Q = 50^{\circ}$.Adding the two equations:$(\angle P + \angle Q) + (\angle P - \angle Q) = 180^{\circ} + 50^{\circ}$$2\angle P = 230^{\circ}$$\angle P = 115^{\circ}$.Substituting the value of $\angle P$ in the first equation:$115^{\circ} + \angle Q = 180^{\circ}$$\angle Q = 180^{\circ} - 115^{\circ} = 65^{\circ}$.Thus,$\angle P = 115^{\circ}$ and $\angle Q = 65^{\circ}$.

If $\angle P - \angle Q = 50^{\circ}$,then find the values of $\angle P$ and $\angle Q$.

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