2014 CEMC Gauss (Grade 8) Problems/Problem 12: Difference between revisions
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Latest revision as of 11:36, 18 October 2025
Problem
If two straight lines intersect as shown, then 
is
An image is supposed to go here. You can help us out by creating one and editing it in. Thanks.
Solution 1
Since the lines are straight, we know that 
and 
form a straight angle. Thus, we have:
Using the same logic, and 
also form a straight angle, giving:
Going back to the original problem, 
.
~anabel.disher
Solution 2
Like solution 1, we can use the fact that and form a straight angle. However, we can notice that 
and are vertical angles.
Thus, , giving the same answer of 
.
~anabel.disher
| 2014 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources) | ||
| Preceded by Problem 11 |
Followed by Problem 13 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| CEMC Gauss (Grade 8) | ||
