In the figure shown, lines k and l are parallel.
image
Amy claims that
m
∠
4
+
m
∠
5
=
m
∠
10
+
m
∠
9
Is Amy correct? Use mathematical language to justify your response.
Yes she is correct cause 10 m +m9. And 10 +9=19 15+16+14+13=118
idk i am asking this question thought
no figure
To determine whether Amy's claim is correct, we need to examine the angles in the figure provided.
Based on the information given that lines k and l are parallel, we can conclude that the lines intersected by lines k and l form corresponding angles. Here's how you can determine if Amy's claim is true:
1. Identify corresponding angles: Find the pairs of corresponding angles in the figure. In this case, corresponding angles are angles that are on the same side of the transversal (lines k and l), and in a corresponding position relative to the intersection of the lines.
2. Compare the angles: We are given that Amy claims that the sum of angles 4 and 5 is equal to the sum of angles 10 and 9. So, we need to check if the measures of those angles are indeed equal.
3. Measure the angles: Use a protractor or angle measuring tool to measure angles 4, 5, 9, and 10. Ensure that the angles are accurately measured.
4. Verify the claim: Add the measurements of angles 4 and 5, and then calculate the sum of angles 10 and 9. Compare those two sums. If the sums are equal, Amy's claim is correct. If they are not equal, Amy's claim is incorrect.
By following these steps, you can verify whether Amy's claim is true or false using mathematical language and measurements.