Question

Two angles in a triangle measures 101° and 29° what is the measure of the third angle?

Answer 1

We are given that two angles in a triangle measure 101° and 29°

What is the measure of the third angle?

Recall that the sum of three interior angles of a triangle must be equal to 180°

Let x be the third angle of the triangle, then we can write

`x+101\degree+29\degree=180\degree`

Let us solve the above equation for x

`\begin{gathered} x+101\degree+29\degree=180\degree \\ x+130\degree=180\degree \\ x=180\degree-130\degree \\ x=50\degree \end{gathered}`

Therefore, the measure of the third angle is 50°