Question : If the angle of a right-angled triangle is 35°, then find the other angles.
Option 1: 90° and 75°
Option 2: 90° and 35°
Option 3: 90° and 55°
Option 4: 90° and 45°
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Correct Answer: 90° and 55°
Solution : Let ABC be a triangle right-angled at B. Let $\angle$ A = 35° By angle sum property in $\triangle$ ABC, $\angle$A + $\angle$B+$\angle$C = 180° ⇒ 35° + 90° + $\angle$C = 180° ⇒ $\angle$C = 55° Hence, the correct answer is 90° and 55°.
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Question : An exterior angle of a triangle is 115° and one of the interior opposite angles is 45°. The other two angles are:
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.
Question : In $\triangle$ABC, if the median AD = $\frac{1}{2}$BC, then $\angle$BAC is equal to:
Question : If $\triangle \mathrm{BPQ} \cong \triangle \mathrm{ASR}$ and $\angle \mathrm{A}=\frac{1}{3} \angle \mathrm{R}=\angle \mathrm{S}$, then find $\angle \mathrm{Q}$. (All angles are in degrees).
Question : The angles of a triangle are in the ratio 2 : 3 : 7. What is the measure of the largest angle of the triangle?
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