Question

A right triangle has an angles measuring 40 degrees. What is the measure of the 3rd angle?

Answer 1

We are given that a right triangle has a40 degrees angle, and we are asked to determine the third angle. To do that, let's remember that the sum of the interior angles of any triangle always adds up to 180 degrees and that a right triangle contains a 90 degrees angle, therefore, we have the following relationship:

`90+40+x=180`

adding like terms:

`130+x=180`

now we subtract 130 to both sides:

`\begin{gathered} 130-130+x=180-130 \\ x=50 \end{gathered}`

therefore, the third angle measures 50 degrees.