Question

In a right triangle, if one of the acute angles measures ${45}^o$, then find the measure of the other acute angle?

• A. $x={50}^o$
• B. $x={55}^o$
• C. $x={45}^o$
• D. $x={35}^o$

Answer 1

The correct option is C $x={45}^o$

In a right triangle, one of the angles measures ${90}^o$.
Also, it is given that one of the acute angles measures ${45}^o$.
We know that according to the angle sum property, the sum of the angles of a triangle is ${180}^o.$
Therefore,

Other acute angle $={180}^o–({90}^o+{45}^o)={180}^o–{135}^o={45}^o$