Question

Classify ABC by its angles if m

Answer 1

Let us solve for the third angle which is measure of angle C

`\angle A+\angle B+\angle C=180^0\text{ \lparen Sum of angles in a triangle is 180}^0)`

Given:

`\begin{gathered} \angle A=32^0 \\ \angle B=58^0 \end{gathered}`

Therefore,

`\begin{gathered} 32^0+58^0+\angle C=180^0 \\ 90^0+\angle C=180^0 \\ \angle C=180^0-90^0=90^0 \\ \therefore\angle C=90^0 \end{gathered}`

Since one of the angles is 90⁰, therefore the triangle is a Right triangle.

Hence, the correct option is Option 3.