Acute angle of right triangle = 52 degrees find the outside angle at the apex of another acute angle.

From the condition, we know that the triangle given to us is rectangular, and we also know that one of the acute angles is 52 degrees.

Let’s start by applying the triangle sum theorem. It says that the sum of the angles of a triangle is 180 degrees. Calculate the degree measure of the second acute angle of the triangle.

180 – (90 + 52) = 180 – 142 = 38 degrees.

It remains for us only to calculate the degree measure of the external angle at an acute angle of 38 degrees.

The sum of the inner and outer angles of 180 degrees.

180 – 38 = 142 degrees.