Triangle Similarity Proof: Comparing 40° and 60° Angles in Two Triangles

Angle B is equal to 40°

Angle C is equal to 60°

Angle E is equal to 40°

Angle F is equal to 60°

Are the triangles similar?

AAABBBCCCDDDEEEFFF

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Step-by-step video solution

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00:00 Are the triangles similar?
00:03 Angles are equal according to given (A)
00:09 Angles are equal according to given (A2)
00:14 The triangles are similar according to A.A
00:26 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Angle B is equal to 40°

Angle C is equal to 60°

Angle E is equal to 40°

Angle F is equal to 60°

Are the triangles similar?

AAABBBCCCDDDEEEFFF

2

Step-by-step solution

Given that the data shows that there are two pairs with equal angles:

B=E=40 B=E=40

C=F=60 C=F=60

The triangles are similar according to the angle-angle theorem, therefore triangle ABC is similar to triangle DEF.

3

Final Answer

Yes

Practice Quiz

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Is the similarity ratio between the three triangles equal to one?

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