Answer:
The other acute angle is 64°
Step-by-step explanation:
Given a right triangle in which the measure of one acute angle is 26°
we have to find the measure of the other acute angle.
Let the required acute angle is x
By angle sum property, the sum of all angles of triangle is 180°
[tex]x^{\circ}+26^{\circ}+90^{\circ}=180^{\circ}[/tex]
[tex]x^{\circ}+116^{\circ}=180^{\circ}[/tex]
[tex]x^{\circ}=180^{\circ}-116^{\circ}[/tex]
[tex]x^{\circ}=64^{\circ}[/tex]
Hence, the other acute angle is 64°
