One of the acute corners of a right-angled triangle is 34 °. Find the second sharp corner.

It is known from the condition that one of the acute angles of a right-angled triangle is 34 °.

In order to find another acute angle, let’s recall the theorem on the sum of the angles of a triangle.

It says that the sum of the angles of the triangle is 180 °.

We also know that one of the angles in a right-angled triangle is 90 °.

Let us denote the unknown angle using the variable x. Let’s compose and solve the equation.

x + 34 + 90 = 180;

x = 180 – 34 – 90;

x = 56 ° second acute angle of the triangle.

Answer: 56 ° unknown acute angle of a triangle.