Finding Corresponding Angles: Triangle ABC vs Triangle DEF

Look at the two triangles below:

AAABBBCCCDDDEEEFFF

Angle B is equal to angle E.
Angle A is equal to angle D.

Which angle corresponds to angle C?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's find out what angle matches with angle C.
00:06 Angles are equal, as given in the data.
00:10 The triangles are similar by the angle-angle rule, or A.A.
00:15 So, the matching angle is the last angle, angle F.
00:20 And there you have it, that's how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Look at the two triangles below:

AAABBBCCCDDDEEEFFF

Angle B is equal to angle E.
Angle A is equal to angle D.

Which angle corresponds to angle C?

2

Step-by-step solution

As we have two pairs of corresponding angles, we will use the angle-angle theorem for triangle similarity.

Now that we know all angles are equal to each other, we note that the remaining angle that is equal and corresponds to angle C is angle F.

3

Final Answer

F F

Practice Quiz

Test your knowledge with interactive questions

Angle B is equal to 60°

Angle C is equal to 55°

Angle E is equal to 60°

Angle F is equal to 50°

Are these triangles similar?

AAABBBCCCDDDEEEFFF

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