Question : In a $\triangle \mathrm{XYZ}, \mathrm{XO}$ is the median and $\mathrm{XO}=\frac{1}{2} \mathrm{YZ}$. If $\angle \mathrm{YXO}=30^{\circ}$, then what is the value of $\angle \mathrm{XYZ}$?

Option 1: 15°

Option 2: 90°

Option 3: 30°

Option 4: 60°

Question : The vertical angle $\angle A$ of an isosceles $\triangle ABC$ is three times the angle B on it. The measure of the $\angle A$ is:

Option 1: 90°

Option 2: 108°

Option 3: 100°

Option 4: 36°

Question : The angles of a triangle are in the ratio 2 : 3 : 7. What is the measure of the largest angle of the triangle?

Option 1: 100°

Option 2: 45°

Option 3: 90°

Option 4: 105°

Question : $\triangle$ XYZ is a right-angled triangle and $\angle$Y = 90° If XY = 2.5 cm and YZ = 6 cm, then the circumradius of $\triangle$XYZ is:

Option 1: 6.5 cm

Option 2: 3.25 cm

Option 3: 3 cm

Option 4: 2.5 cm

Question : In $\triangle $ABC, D is a point on side BC such that $\angle$ADC = 2$\angle$BAD. If $\angle$A = 80° and $\angle$C = 38°, then what is the measure of $\angle$ADB?

Option 1: 58°

Option 2: 62°

Option 3: 52°

Option 4: 56°