If one angle of a triangle is equal to half the sum of the

Home » Aptitude » Plane Geometry » Question

If one angle of a triangle is equal to half the sum of the other two equal angles, then the triangle is:

1. isosceles
2. scalene
3. equilateral
4. right angled

Correct Option: C

Let one angle of the triangle be x°.
We know that , Sum of three angles of triangle = 180°
∴ Sum of remaining two angles = 180° – x
According to the question,

x =	180° - x
	2

⇒ 2x + x = 180°
⇒ 3x = 180°
⇒ x = 60°
∴ Other each angle = 60°