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° ?

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

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