Question

Use the image to answer the question.

An illustration shows two parallel slanting lines m and l intersecting a vertical line k. The angles formed at the intersection of lines l and k are 1, 2, 4, and 3. The angles 1 and 4 are opposite to each other while angles 2 and 3 are opposite to each other. The angles formed at the intersection of lines m and k are 5, 6, 8, and 7. The angles 5 and 8 are opposite to each other while angles 6 and 7 are opposite to each other.

What is m∠1 if m∠4=25° ?=

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since angles 1 and 4 are opposite to each other, they are congruent. Therefore, if m∠4 = 25°, then m∠1 is also 25°.

Answer 2

proof

Answer 3

[AI-generated answer — Bot GPT 3.5]

To prove that m∠1 is also 25°, we can use the fact that angles 1 and 4 are corresponding angles formed by a transversal (line k) intersecting two parallel lines (m and l).

According to the properties of corresponding angles, if two parallel lines are intersected by a transversal, then corresponding angles are congruent.

Therefore, if m∠4 = 25°, then m∠1 is also 25° because they are corresponding angles.