Solve for Missing Angle Measure in Similar Triangles

Find the measure of the indicated angle. 

• 145 degrees

• 24 degrees

• 20 degrees 

• 21 degrees

If <a = 63* and <b = 88*, what is the measure of <c?

• 29*

• 30*

• 90*

• 180*

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

• Not Similar
• Similar. ∆MNP~∆RQS
• Similar. ∆MNP~∆QRS
• Similar. ∆NPM~∆QRS

Given that Triangle ABC is similar to Triangle DEF. Find the angle B.

• 60⁰

• 42⁰

• 79⁰

• 180⁰

Given that the two triangles are similar, solve for each missing angles as notated by the variables. (Pictures not drawn to scale)

• z = 52°, q = 38° , w = 52°z\ =\ 52\degree,\ \ q\ =\ 38\degree\ ,\ w\ =\ 52\degree

  z = 52°, q = 38° , w = 52°

• z = 52°, q = 38° , w = 90°z\ =\ 52\degree,\ \ q\ =\ 38\degree\ ,\ w\ =\ 90\degree

  z = 52°, q = 38° , w = 90°

• z = 90°, q = 52° , w = 52°z\ =\ 90\degree,\ \ q\ =\ 52\degree\ ,\ w\ =\ 52\degree

  z = 90°, q = 52° , w = 52°

• z = 38°, q = 90° , w = 38°z\ =\ 38\degree,\ \ q\ =\ 90\degree\ ,\ w\ =\ 38\degree

  z = 38°, q = 90° , w = 38°

Match the missing angle measure to each triangle.

c

d

e

Find all missing angles.

m∠1 ​ (a)   m∠2 ​ (b)  

m∠3​ (c)   m∠4 ​ (d)  

• 51

• 18

• 123

• 39

• 22

• 130

• 98

• 44

• 35

Mathematical Equivalence

OFF

2 triangles are similar if _____________.

• their angles are congruent.

• their sides are congruent.

• their areas are equal.

• their perimeters are equal.