Question
Stop 1: Philadelphia, PA
The Liberty Bell is one of the most famous sights in Philadelphia.
During its construction, the metal used was too brittle, causing it to
crack when it was first rung for a test strike. They recast it twice, but
it still ended up with the final crack in the bell that we can now see. No
one is exactly sure when the final crack in the bell happened, though
there are many stories claiming to be the origin.
While checking out this historical item, you notice that the crack seems
to create a linear pair. The measure of
less than
The Liberty Bell is one of the most famous sights in Philadelphia.
During its construction, the metal used was too brittle, causing it to
crack when it was first rung for a test strike. They recast it twice, but
it still ended up with the final crack in the bell that we can now see. No
one is exactly sure when the final crack in the bell happened, though
there are many stories claiming to be the origin.
While checking out this historical item, you notice that the crack seems
to create a linear pair. The measure of
less than
Ask by Carroll Carlson. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Each angle measures
Solution
Given that the crack in the Liberty Bell creates a linear pair, we know that the sum of the measures of the two angles in a linear pair is always
Let’s denote the measure of angle 1 as
Since the angles form a linear pair, we can set up the equation:
Solving this equation will give us the measure of each angle.
Solve the equation by following steps:
Solve the equation by following steps:
- step0: Solve for
:
- step1: Simplify:
- step2: Move the constant to the right side:
- step3: Subtract the numbers:
- step4: Divide both sides:
- step5: Divide the numbers:
The measure of angle 1 isand the measure of angle 2 is .
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
Let
Simplifying this gives us:
So,
To summarize,
On your next adventure through history, remember that even iconic artifacts like the Liberty Bell hold lessons in geometry! From ancient structures to modern engineering, angles play a fundamental role in both design and aesthetics. Be inspired by the beautiful shapes all around you!
For those interested in diving deeper into the world of angles and geometric principles, check out some engaging resources online or at your local library! Books that explore the intersection of math and art can provide fascinating insights, revealing how angles shape our visual world. Happy reading!
