Question

What is the measure of each of the equal angles of a right-angled isosceles triangle?

Answer 1

In a right isosceles triangle, one angle is a right angle and the the other two angles are equal.
Let the equal angles measure x.

$$\begin{gathered} \mathrm{Now},x+x+90°=180°(\mathrm{Angle}\mathrm{sum}\mathrm{property}) \\ \Rightarrow 2x=180°-90° \\ \Rightarrow x=45° \end{gathered}$$

Thus, the equal angles of the right isosceles triangle measure 45^o​.