triangle def is shown below. use the drop - down menus to explain how to determine the angle measures of any…

triangle def is shown below. 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.

triangle def is shown below. 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.

Answer

Explanation:

Step1: Find interior - angle at D

The exterior angle at D is 110°. Using the linear - pair property (exterior angle and interior angle at a vertex are supplementary), the interior angle at D is 180 - 110=70°.

Step2: Find interior - angle at F

The exterior angle at F is 135°. Using the linear - pair property, the interior angle at F is 180 - 135 = 45°.

Step3: Find interior - angle at E

Using the angle - sum property of a triangle (the sum of interior angles of a triangle is 180°), let the angle at E be x. Then x+70 + 45=180, so x=180-(70 + 45)=65°.

Step4: Recall property of similar triangles

Similar triangles have equal corresponding angles.

Answer:

A triangle similar to DEF will have an angle that measures 70 degrees, an angle that measures 45 degrees, and an angle that measures 65 degrees.