Connect with a global community of knowledgeable individuals on IDNLearn.com. Ask anything and receive thorough, reliable answers from our community of experienced professionals.

Let's say and write the answers as quickly as possible.

a) If [tex]$x^{\circ}, y^{\circ},$[/tex] and [tex]$z^{\circ}$[/tex] are the angles of a triangle, then [tex]$x^{\circ} + y^{\circ} + z^{\circ} = \qquad$[/tex]

b) If [tex]$x^{\circ}, 110^{\circ},$[/tex] and [tex]$40^{\circ}$[/tex] are the angles of a triangle, then [tex]$x^{\circ} = \qquad$[/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]$x^{\circ} = \qquad$[/tex]


Sagot :

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.