Question

Two angles in a triangle are equal and the third angle is $90°$. Find the other two angles

Answer 1

Use angle sum property of triangle

In a triangle , if two angles are equal then the triangle is known as isosceles triangle .

Given that third angle is equal to $90°$ , so the triangle thus formed is an isosceles right angled triangle .

Let the two equal angle be $x°$each .

Now, according to angle sum property of a triangle sum of all the angles of a triangle measures $180°$ .

$$\begin{gathered} \Rightarrow x°+x°+90°=180° \\ \Rightarrow 2x°+90°=180° \\ \Rightarrow 2x°=180°-90° \\ \Rightarrow 2x°=90° \\ \Rightarrow x°=\frac{90°}{2} \\ \Rightarrow x°=45° \end{gathered}$$

Therefore , the other two angles measure $45°$ each .