Solving with Relationships in Triangles

Solve for x

• 30°

• 40°

• 50°

• 60°

Find the measure of the indicated angle. 

• 34°

• 46°

• 62°

• 36°

The sum of the angle measures of a triangle is 180° 
m∠A + m∠B + m∠C = 180°

• Triangle Sum Theorem

• Exterior Angle Theorem

• Third Angle Theorem

• Centroid Theorem

The acute angles of a right triangle are

• supplementary

• linear

• complementary

• 60°

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

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

What is the correct congruence statement?  ΔDEC ≅________

• ΔAEB

• ΔEAB

• ΔBEA

• Not Congruent

Find the measure of angle A.

• 75^o

• 60^o

• 30^o

• 38^o

Find the measure of the indicated angle. 

• 95°

• 85°

• 35°

• 45°

Which would be the best classification for the triangle shown?

• acute isosceles

• obtuse scalene

• obtuse isosceles

• acute scalene