Question
Find the unknown marked angles in the given figure:
✓
Answer
We know that in a triangle if one side of it is produced, then
Exterior angle $=$ sum of its interior opposite angles.
In fig.,
$ 120^{\circ}+a+a $
$ \Rightarrow 2 \mathrm{a}=120^{\circ} $
$ \Rightarrow \mathrm{a}=\frac{120^{\circ}}{2}=60^{\circ} $
$ \therefore \mathrm{a}=60^{\circ} $
Exterior angle $=$ sum of its interior opposite angles.
In fig.,
$ 120^{\circ}+a+a $
$ \Rightarrow 2 \mathrm{a}=120^{\circ} $
$ \Rightarrow \mathrm{a}=\frac{120^{\circ}}{2}=60^{\circ} $
$ \therefore \mathrm{a}=60^{\circ} $
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