Question

The intersecting skis form four angles.

C. How does the sum of the measures of ∠1 and ∠2 change when one ski moves? Explain.

A skier is shown with his skis crossed in the shape of an "x". The four angles formed by his skis intersecting are labeled angles 1, 2, 3 and 4 in a clockwise direction.

Answer 1

[AI-generated answer — Bot GPT 3.5]

When one ski moves, the angles formed by the intersecting skis will change. However, the sum of the measures of ∠1 and ∠2 will remain constant. This is because ∠1 and ∠2 are vertical angles and therefore congruent. Vertical angles are formed when two lines intersect each other, and they have equal measures. So even if one ski moves, the measure of ∠1 will still be equal to the measure of ∠2, and their sum will remain the same.