Question : In a triangle ABC, AB = 6$\sqrt{3}$ cm,  AC = 12 cm and BC = 6 cm. Then the measure of $\angle B$ is equal to:

Option 1: 90°

Option 2: 45°

Option 3: 70°

Option 4: 60°

Question : In an isosceles $\triangle ABC$, $AB = AC$, $XY || BC$. If $\angle A=30°$, then $\angle BXY$?

Option 1: 75°

Option 2: 30°

Option 3: 150°

Option 4: 105°

Question : In triangle ABC, $\angle$ B = 90°, and $\angle$C = 45°. If AC = $2 \sqrt{2}$ cm then the length of BC is:

Option 1: 3 cm

Option 2: 2 cm

Option 3: 1 cm

Option 4: 4 cm

Question : ABC is an isosceles triangle such that AB = AC, $\angle$ABC = 55°, and AD is the median to the base BC. Find the measure of $\angle$BAD.

Option 1: 50°

Option 2: 55°

Option 3: 35°

Option 4: 90°

Question : In $\triangle$ABC, if the median AD = $\frac{1}{2}$BC, then $\angle$BAC is equal to:

Option 1: 90°

Option 2: 45°

Option 3: 60°

Option 4: 75°