Sure! Here are the answers:
a) If [tex]\( x^\circ \)[/tex], [tex]\( y^\circ \)[/tex], and [tex]\( z^\circ \)[/tex] are the angles of a triangle, then [tex]\[ x^\circ + y^\circ + z^\circ = 180^\circ \][/tex]
b) If [tex]\( x^\circ \)[/tex], [tex]\( 110^\circ \)[/tex], and [tex]\( 40^\circ \)[/tex] are the angles of a triangle, then [tex]\[ x^\circ = 30^\circ \][/tex]
c) If [tex]\( x^\circ \)[/tex] is the exterior angle and [tex]\( y^\circ \)[/tex] and [tex]\( z^\circ \)[/tex] are the two opposite interior angles of a triangle, then [tex]\[ x^\circ = 150^\circ \][/tex]
These are the required answers for each part.