Question

In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?

Answer 1

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°

$x^{\circ}+26^{\circ}+90^{\circ}=180^{\circ}$

$x^{\circ}+116^{\circ}=180^{\circ}$

$x^{\circ}=180^{\circ}-116^{\circ}$

$x^{\circ}=64^{\circ}$

Hence, the other acute angle is 64°

Answer 2

Sum of angles in a triangle = 180
180-90-26
=64