Question

If one angle of triangle is equal to the sum of the other two angles then the triangle is

• A. Isosceles triangle
• B. Obtuse angled triangle
• C. Equilateral triangle
• D. Right angled triangle

Answer 1

The correct option is D Right angled triangle

Let a $△ABC$
$\angle A=\angle B+\angle C$ [according to question]
$\Rightarrow \angle A+\angle A=\angle A+\angle B+\angle C$
$\Rightarrow 2\angle A={180}^{\circ }$
$\therefore \angle A={90}^{\circ }$
Answer : Right angled triangle