Question

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

• A. An isosceles triangle
• B. An obtuse triangle
• C. An equilateral triangle
• D. A right triangle

Answer 1

The correct option is D

A right triangle

Solve for the measure of the angle:

Given:$a=b+c$

$a+b+c=180°$ (angle sum property of triangle)

Since, $a=b+c$

therefore $a+a=180°$

$$\begin{gathered} \Rightarrow 2a=180° \\ \Rightarrow a=90° \end{gathered}$$

Therefore the triangle is a right angles triangle.

Hence, option (D) is correct.