Question
Find the unknown angles in the given figure:
✓
Answer
In the figure,
Let each equal angle of an isosceles triangle be $x$,
then $x+x=86^{\circ} \Rightarrow 2 x=86^{\circ}$
$ \Rightarrow x=\frac{86^{\circ}}{2}=43^{\circ} $
But $p+x=180^{\circ}$ (Linear pair)
$ p+43^{\circ}=180^{\circ} $
$ \Rightarrow \mathrm{p}=180^{\circ}-43^{\circ} $
$ \Rightarrow \mathrm{p}=137^{\circ} $
Hence $p=137^{\circ}$
Let each equal angle of an isosceles triangle be $x$,
then $x+x=86^{\circ} \Rightarrow 2 x=86^{\circ}$
$ \Rightarrow x=\frac{86^{\circ}}{2}=43^{\circ} $
But $p+x=180^{\circ}$ (Linear pair)
$ p+43^{\circ}=180^{\circ} $
$ \Rightarrow \mathrm{p}=180^{\circ}-43^{\circ} $
$ \Rightarrow \mathrm{p}=137^{\circ} $
Hence $p=137^{\circ}$
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