Angle Relationships and Triangle Sum Theorem

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
m∠4 = m∠1 + m∠2

• Triangle Sum Theorem

• Exterior Angle Theorem

• Third Angles Theorem

• Congruent Triangles Theorem

Find the measure of angle A.

• 75^o

• 60^o

• 30^o

• 38^o

Find the measure of the indicated angle. 

• 34°

• 46°

• 62°

• 36°

Find the measure of the indicated angle. 

• 95°

• 85°

• 35°

• 45°

If two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles are congruent.

• Triangle Sum Theorem

• Exterior Angle Theorem

• Third Angles Theorem

• Congruent Triangles Theorem

Which would be the best classification for the triangle shown?

• acute isosceles

• obtuse scalene

• obtuse isosceles

• acute scalene

Which would be the best classification for the triangle shown?

• right isosceles

• obtuse scalene

• obtuse isosceles

• right scalene

Which would be the best classification for the triangle shown?

• right isosceles

• obtuse scalene

• obtuse isosceles

• acute scalene

What is the value of x?

• 60

• 26

• 14

• 10

Which two angles are the remote interior angles to Angle W?

• Angle X and Angle Y

• Angle X and Angle Z

• Angle Y and Angle Z

• Angle Z and Angle W