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CUET
General Aptitude Test
Quantitative Reasoning
Geometry
I is the incentre of $\triangle ABC$. If $\angle BIC = 108^\circ$, then $\angle A = ?$
54°
81°
72°
36°
\(\angle\)BIC = 90 + \(\angle\)A/2
108 = 90 + \(\angle\)A/2
\(\angle\)A = 18 x 2 = \({36}^\circ\).
Therefore, \(\angle\)A is \({36}^\circ\).