Finding Corresponding Angles: Triangle ABC vs Triangle DEF Comparison

Look at the two triangles below:

AAABBBCCCDDDEEEFFF

Angle B is equal to angle F.

Angle C is equal to angle D.

Which angle corresponds to angle A?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Which angle corresponds to angle A?
00:03 Corresponding angles according to the given data
00:09 We want to calculate angle A
00:12 The sum of angles in a triangle equals 180
00:17 Therefore, we subtract the known angles from 180 to get angle A
00:27 We'll use the same method to find the expression for angle E
00:36 Let's substitute angles B and C according to the given data
00:50 We see that we got the same expression, therefore they are corresponding angles
01:02 And this is the solution to the question

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 F.

Angle C is equal to angle D.

Which angle corresponds to angle A?

2

Step-by-step solution

We use the angle-angle theorem to simulate triangles.

Let's observe the data we already have:

Angles B and F are equal.

Angle C is equal to angle D.

Therefore, the remaining angles must also be equal: angles A and E.

3

Final Answer

E E

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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