Question

use the drop - down menus to explain how to determine the angle measures of any triangle that is similar to triangle def. click the arrows to choose an answer from each menu. a triangle similar to def will have an angle that measures choose... degrees, an angle that measures choose... degrees, and an angle that measures choose... degrees.

Explanation:

Step1: Find ∠EDF

$\angle EDF = 180^\circ - 110^\circ = 70^\circ$

Step2: Find ∠DFE

$\angle DFE = 180^\circ - 135^\circ = 45^\circ$

Step3: Find ∠DEF

$\angle DEF = 180^\circ - 70^\circ - 45^\circ = 65^\circ$

Step4: Apply similarity rule

Similar triangles have congruent corresponding angles.

Answer:

A triangle similar to DEF will have an angle that measures $\boldsymbol{70}$ degrees, an angle that measures $\boldsymbol{45}$ degrees, and an angle that measures $\boldsymbol{65}$ degrees.