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Drag and drop a phrase to make the statement true. Triangles ABC and DEF are Response area. Two triangles, ABC and DEF. For triangle ABC, angle B is eighty degrees and angle C is sixty degrees. For triangle DEF, angle D is forty degrees and angle E is eighty degrees.

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Answer:

similar

Step-by-step explanation:

i took the test and it was right.

Triangles ABC and DEF specified are similar triangles by Angle-Angle Similarity.

What is Angle-Angle similarity for two triangles?

Two triangles are similar if two corresponding angles of them are of same measure. It is because when two pairs of angles are similar, then as the third angle is fixed if two angles are fixed, thus, third angle pair also gets proved to be of same measure. This makes all three angles same and thus, those two triangles are scaled copies of each other. Thus, they're called similar.

Sum of all angles of a triangle is 180 degrees.

For the triangle ABC, two of its angles are of 80 and 60 degrees, let its third angle be of D degrees, then:

[tex]80 + 60 + D= 180\\D = 180 - 60 - 80 = 40\text{\: \: (in degrees)}[/tex]

Since, triangle DEF also has two of its angles as 80 degrees and 40 degrees, thus, both the triangles ABC and DEF similar.

Learn more about similar triangles here:

https://brainly.com/question/11929676

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