One of the corners of a right-angled triangle is 16 degrees larger than the other.

One of the corners of a right-angled triangle is 16 degrees larger than the other. Find the corners of a right-angled triangle.

The angles in a right triangle add up to 180⁰. The right angle is 90⁰, let’s designate one of the unknown angles as x, then another angle will be equal to x + 16⁰. Let’s compose and solve the equation.

x + x + 16⁰ + 90⁰ = 180⁰.

2 * x = 180⁰ – 90⁰ – 16⁰.

x = 74⁰ ÷ 2.

x = 37⁰.

Let’s find the second unknown angle.

37⁰ + 16⁰ = 43⁰.

Answer: The angles of a right-angled triangle are 37⁰, 43⁰ and 90⁰.