Find angles in triangles Find the value of r in the triangle shown below

The given triangles has angles
[tex]\begin{gathered} \angle1=33º \\ \angle2=114º \\ \angle3=xº \end{gathered}[/tex]To determine the measure of the missing angle, you have to remember that the sum of the inner angles of a triangle is equal to 180º so that:
[tex]\angle1+\angle2+\angle3=180º[/tex]Replace the expression with the given measures:
[tex]33º+114º+xº=180º[/tex]And now we can find the measure of the missing angle
[tex]\begin{gathered} 147º+xº=180º \\ xº=180º-147º \\ xº=33º \end{gathered}[/tex]The missing angle has a measure of x=33º