Question

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

180°
154°
64°
90°

Answer 1

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

Answer 2

The other acute angle is 64°

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°