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)
$ \begin{aligned} & \mathrm{b}^{\circ}+50^{\circ}+\mathrm{b}^{\circ}=180^{\circ} \\ & \Rightarrow 2 \mathrm{~b}^{\circ}+50^{\circ}=180^{\circ} \\ & \Rightarrow 2 \mathrm{~b}^{\circ}=180^{\circ}-50^{\circ}=130^{\circ} \\ & \Rightarrow \mathrm{b}^{\circ}=\frac{130^{\circ}}{2}=65^{\circ} \end{aligned} $
Hence $\angle A=b^{\circ}=65^{\circ}$
and $\angle \mathrm{C}=\mathrm{b}^{\circ}=65^{\circ}$
$ \begin{aligned} & \mathrm{b}^{\circ}+50^{\circ}+\mathrm{b}^{\circ}=180^{\circ} \\ & \Rightarrow 2 \mathrm{~b}^{\circ}+50^{\circ}=180^{\circ} \\ & \Rightarrow 2 \mathrm{~b}^{\circ}=180^{\circ}-50^{\circ}=130^{\circ} \\ & \Rightarrow \mathrm{b}^{\circ}=\frac{130^{\circ}}{2}=65^{\circ} \end{aligned} $
Hence $\angle A=b^{\circ}=65^{\circ}$
and $\angle \mathrm{C}=\mathrm{b}^{\circ}=65^{\circ}$
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