Compare Angles: Determining the Relationship Between Angle B and ACD in a 40° Parallel Line System

Fill in the missing sign according to the diagram:

Angle B (?) angle ACD

404040404040AAABBBDDDEEECCC

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Complete the missing sign
00:03 According to the given data, a right angle equals 90
00:09 Supplementary angle on the line, supplements to 180 therefore it's larger
00:14 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

Fill in the missing sign according to the diagram:

Angle B (?) angle ACD

404040404040AAABBBDDDEEECCC

2

Step-by-step solution

According to the diagram, angle B is a right angle equal to 90 degrees.

If we look at angle ACD, we can see that it is larger than 90 degrees.

We can also calculate angle ACD since it is supplementary to 180 degrees:

180=ACB+ACD 180=ACB+ACD

180=40+ACD 180=40+ACD

180−40=ACD 180-40=ACD

140=ACD 140=ACD

Therefore:

90>40 90 > 40

3

Final Answer

< <

Practice Quiz

Test your knowledge with interactive questions

Indicates which angle is greater

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Angles questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Sum and Difference of Angles

Compare Angles BAC and BAE: Geometric Relationship Analysis
Click to solve
Compare Angles D and ACB: Geometric Diagram Analysis with 40° Measurements
Click to solve