Question
Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)
1. What is the m∠5? Explain how you know. (2 points)
Answers
GPT 3.5
To find the measure of angle 5, we need to use the property that when a transversal intersects two parallel lines, alternate interior angles are congruent.
Since angle 1 is 75° and angle 4 is 50°, we can find angle 5 by using the fact that the sum of angles on a line is 180°.
Therefore, angle 5 = 180° - (75° + 50°) = 180° - 125° = 55°.
So, the measure of angle 5 is 55°.
Since angle 1 is 75° and angle 4 is 50°, we can find angle 5 by using the fact that the sum of angles on a line is 180°.
Therefore, angle 5 = 180° - (75° + 50°) = 180° - 125° = 55°.
So, the measure of angle 5 is 55°.