Question

A triangle whose two angles measure ${25}^0$ and ${35}^0$ is a/an _________ triangle.

• A. acute angled
• B. obtuse angled
• C. right angled
• D. equilateral

Answer 1

The correct option is B obtuse angled

We know, the sum of the interior angles of a triangle $={180}^{\circ }$.

If two angles measure ${25}^{\circ }$ and ${35}^{\circ }$, the third angle measures $({180}^{\circ }-({25}^{\circ }+{35}^{\circ }\left)\right)={120}^{\circ }$

Since, the third angle is more than ${90}^{\circ }$ and less than ${180}^o$, the triangle is an obtuse angled triangle.