Compare Angles BAC and E: Analyzing 40° Geometric Relationships

Fill in the missing sign (?) according to the diagram:

Angle BAC ? angle E

404040404040AAABBBDDDEEECCC

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's complete the missing sign. Ready? Let's go!
00:10 Remember, a triangle's angles add up to 180 degrees. Subtract to find the missing angle. You got this!
00:17 This is the size of the angle you calculated. Nice work!
00:21 Looking at the drawing, angle E is obtuse, which means it's greater than 90 degrees. Good observation!
00:29 And that's the solution to our problem. Great job!

Step-by-step written solution

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1

Understand the problem

Fill in the missing sign (?) according to the diagram:

Angle BAC ? angle E

404040404040AAABBBDDDEEECCC

2

Step-by-step solution

Fist let's look at triangle ABC, remembering that the sum of angles in a triangle equals 180 degrees.

In triangle ABC, we are given two angles: 40 and 90.

Therefore, we can calculate BAC as follows:

BAC=1809040 BAC=180-90-40

BAC=50 BAC=50

Now let's look at angle E, noting that it is greater than 90 degrees.

Therefore:

E>BAC E > BAC

3

Final Answer

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Practice Quiz

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Indicates which angle is greater

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