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 : 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 : In $\triangle$ABC, AB = $a - b$, AC = $\sqrt{a^2+b^2}$, and BC = $\sqrt{2ab}$, then find angle B.

Option 1: 60°

Option 2: 30°

Option 3: 90°

Option 4: 45°

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 $\triangle$ABC, $\angle$B = 35°, $\angle$C = 65° and the bisector of $\angle$BAC meets BC in D. Then $\angle$ADB is:

Option 1: 40°

Option 2: 75°

Option 3: 90°

Option 4: 105°