Question
In the given figure. $p^{\circ}=q^{\circ}=r^{\circ}$, find each.
✓
Answer
$p^{\circ}+q^{\circ}=r^{\circ}=180^{\circ}$
(straight angle)
But $p^{\circ}=q^{\circ}=r^{\circ}$ (given)
$\therefore p ^{\circ}+ p ^{\circ}+ p ^{\circ}=180^{\circ} $
$\Rightarrow 3 p ^{\circ}=180^{\circ} $
$\Rightarrow p ^{\circ}=\frac{180^{\circ}}{3}=60^{\circ}$
Hence $p^{\circ}=q^{\circ}=r^{\circ}=60^{\circ}$
(straight angle)
But $p^{\circ}=q^{\circ}=r^{\circ}$ (given)
$\therefore p ^{\circ}+ p ^{\circ}+ p ^{\circ}=180^{\circ} $
$\Rightarrow 3 p ^{\circ}=180^{\circ} $
$\Rightarrow p ^{\circ}=\frac{180^{\circ}}{3}=60^{\circ}$
Hence $p^{\circ}=q^{\circ}=r^{\circ}=60^{\circ}$
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