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
[tex]x+101\degree+29\degree=180\degree[/tex]Let us solve the above equation for x
[tex]\begin{gathered} x+101\degree+29\degree=180\degree \\ x+130\degree=180\degree \\ x=180\degree-130\degree \\ x=50\degree \end{gathered}[/tex]Therefore, the measure of the third angle is 50°
