In a , if = 72^ and = 63^ , find . - Vidyadip

Question

In a $\triangle\text{ABC}$, if $\angle\text{A} = 72^\circ$ and $\angle\text{B} = 63^\circ$, find $\angle\text{C}$.

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Answer

In $\triangle\text{ABC}$, $\angle\text{A} = 72^\circ,\angle\text{B} = 63^\circ$ But $\angle\text{A}+\angle\text{B}+\angle\text{C}=360^\circ$ (Sum of angles of a triangle)
$\Rightarrow72^\circ + 63^\circ +\angle\text{C} = 180^\circ$
$\Rightarrow 135^\circ +\angle\text{C} = 180^\circ$
$\Rightarrow\angle\text{C}=180^\circ-135^\circ=45^\circ$

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