Question : In $\triangle \mathrm{ABC}, \angle \mathrm{A}=68^{\circ}$. If I is the incentre of the triangle, then the measure of $\angle B I C$ is:

Option 1: 124°

Option 2: 68°

Option 3: 148°

Option 4: 54°

Question : $\triangle \mathrm{ABC}$ and $\triangle \mathrm{DEF}$ are two triangles such that $\triangle \mathrm{ABC} \cong \triangle \mathrm{FDE}$. If AB = 5 cm, $\angle$B = 40° and $\angle$A = 80°, then which of the following options is true?

Option 1: DF = 5 cm, $\angle$E = 60°

Option 2: DE = 5 cm, $\angle$F = 60°

Option 3:  DE = 5 cm, $\angle$D = 60°

Option 4: DE = 5 cm, $\angle$E = 60°

Question : In $\triangle \mathrm{ABC}, \angle \mathrm{A}=54^{\circ}$. If I is the incentre of the triangle, then the measure of $\angle \mathrm{BIC}$ is:

Option 1: 68^o

Option 2: 54^o

Option 3: 148^o

Option 4: 117^o

Question : 'I' is the incentre of $\triangle$ABC. If $\angle$BIC = 108$^\circ$, then $\angle$A = ?

Option 1: 54$^\circ$

Option 2: 36$^\circ$

Option 3: 72$^\circ$

Option 4: 81$^\circ$

Question : In $\triangle A B C, \mathrm{BD} \perp \mathrm{AC}$ at $\mathrm{D}$. $\mathrm{E}$ is a point on $\mathrm{BC}$ such that $\angle B E A=x^{\circ}$. If $\angle E A C=46^{\circ}$ and $\angle E B D=60^{\circ}$, then the value of $x$ is:

Option 1: 72°

Option 2: 78°

Option 3: 68°

Option 4: 76°