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°
?
(1 point)
°
1 answer
To find \( m\angle 1 \) when \( m\angle 4 = 25° \), we can use the property of vertical angles, which states that vertical angles are equal.
Given that \( m\angle 4 \) and \( m\angle 1 \) are vertical angles, it follows that:
\[ m\angle 1 = m\angle 4 \]
Since \( m\angle 4 = 25° \):
\[ m\angle 1 = 25° \]
Thus, the measure of angle 1 is \( 25° \).
