Question
Find the unknown marked angles in the given figure:
✓
Answer
In the figure, $\angle A+\angle B+\angle C=180^{\circ} $........ (Sum of angles of a triangle)
$ x^{\circ}+90^{\circ}+x^{\circ}=180^{\circ} $
$ \begin{aligned} & \Rightarrow 2 x^{\circ}+90^{\circ}=180^{\circ} \\ & \Rightarrow 2 x^{\circ}=180^{\circ}-90^{\circ} \\ & \Rightarrow 2 x^{\circ}=90^{\circ} \end{aligned} $
$ \Rightarrow x^{\circ}=\frac{90^{\circ}}{2}=45^{\circ} $
Hence $\angle A=x^{\circ}=45^{\circ}$
and $\angle C=x^{\circ}=45^{\circ}$
$ x^{\circ}+90^{\circ}+x^{\circ}=180^{\circ} $
$ \begin{aligned} & \Rightarrow 2 x^{\circ}+90^{\circ}=180^{\circ} \\ & \Rightarrow 2 x^{\circ}=180^{\circ}-90^{\circ} \\ & \Rightarrow 2 x^{\circ}=90^{\circ} \end{aligned} $
$ \Rightarrow x^{\circ}=\frac{90^{\circ}}{2}=45^{\circ} $
Hence $\angle A=x^{\circ}=45^{\circ}$
and $\angle C=x^{\circ}=45^{\circ}$
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