Question

In $∆ABC,m\angle A=48°andm\angle C=24°.$ What type of triangle is $∆ABC?$

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

Answer 1

The correct option is C

Obtuse triangle

The two angles in $∆ABC$ is given as $m\angle A=48°andm\angle C=24°.$

We know that sum of all angles in a triangle is $180°$.

So, the third angle is

$$\begin{gathered} 180°-\left(48+24\right) \\ \Rightarrow 180°-72° \\ \Rightarrow 108° \end{gathered}$$

Since here, one angle is greater than $90°$ and less than $180°$ so it is an obtuse triangle.

Hence, option (c) is correct.