Question : In a $\triangle {JKL}, {O}$ is the orthocenter of this triangle. $\angle {K}=55$ degree and $\angle {KOL}=120$ degree. What is the value of $\angle {JLK}$?

Option 1: 60 degree

Option 2: 65 degree

Option 3: 55 degree

Option 4: 70 degree

Question : $\triangle ABC$ is an isosceles triangle with AB = AC. If $\angle BAC=50^\circ$, then the degree measure of $\angle ABC$ is equal to:

Option 1: $70^\circ$

Option 2: $55^\circ$

Option 3: $60^\circ$

Option 4: $65^\circ$

Question : O is the incentre of the $\triangle \mathrm{PQR}$. If $\angle \mathrm{POR}=120°$, then what is the $\triangle \mathrm{PQR}$?

Option 1: 45°

Option 2: 60°

Option 3: 55°

Option 4: 48°

Question : M is the incentre of the $\triangle $XYZ. If $\angle $YXZ + $\angle $YMZ = 150°, then what is the value of $\angle $YXZ?

Option 1: 40°

Option 2: 55°

Option 3: 60°

Option 4: 45°

Question : In a cyclic quadrilateral ABCD. $\angle {A}$ is opposite to $\angle {C}$. If $\angle {A}=110°$, then what is the value of $\angle {C}$?

Option 1: 60 degrees

Option 2: 50 degrees

Option 3: 70 degrees

Option 4: 55 degrees

Question : In a $\triangle ABC$, if $2\angle A=3\angle B=6\angle C$, then the value of $\angle B$ is:

Option 1: $60^{\circ}$

Option 2: $30^{\circ}$

Option 3: $45^{\circ}$

Option 4: $90^{\circ}$