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nadezda
2 months ago
7

Carmen is planning rail lines for a new train station. Help her find m1. Explain how you found  that solution.

Mathematics
2 answers:
zzz [12.3K]2 months ago
8 0

Angle 2 is supplementary to 17°, thus m∠2 = 163°. Given that ∠1 and ∠2 are alternate interior angles of parallel lines, they are equal, hence m∠1 = m∠2, resulting in m∠1 = 163°.

tester [12.3K]2 months ago
3 0
I have included a screenshot of the entire question along with its accompanying diagram.

Answer:
∠1 = 163°

Explanation:
1- finding angle 2:
Given that ∠2 together with 17° creates a straight angle, their total is 180°.
Thus:
180 = 17 + ∠2
Solving for ∠2 gives us:
∠2 = 180 - 17
∠2 = 163°

2- finding angle 1:
Since lines a and b are parallel, ∠1 and ∠2 are alternate angles and therefore equal.
We determined that ∠2 = 163°, leading to:
∠1 = 163°

I hope this clarifies things!:)

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