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Answer :

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