Question

If two angles of a triangle are ${23}^{\circ }\&{32}^{\circ }$, what type of a triangle is it?

• A. Obtuse triangle
• B. Acute triangle
• C. Right triangle

Answer 1

The correct option is A Obtuse triangle

The two angles of the triangle are ${23}^{\circ }$ and ${32}^{\circ }$.

We know: Sum of all three angles of a triangle $={180}^{\circ }$

$\therefore \text{The third angle}={180}^{\circ }-({23}^{\circ }+{32}^{\circ })={180}^{\circ }-{55}^{\circ }={125}^{\circ }$

We know that a triangle with an angle greater than ${90}^{\circ }$ is an obtuse triangle.
$\because {125}^{\circ }>{90}^{\circ }$
Given triangle is an obtuse triangle.