Question

Given p, vertical bar, vertical bar, qp∣∣q, if m, angle, 4, equals, 30, degreem∠4=30°, which other angle measures are also 30, degree30°? Give ALL of them.
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Answer
Attempt 1 out of 100

Additional Solution
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angle∠

Answer 1

Given that \( m∠4 = 30° \) and based on the information you provided, we can deduce other angles that measure 30°.

1. If \( p \parallel q \) and \( m∠4 = 30° \), then:
- Alternate interior angles are equal, which means:
+ \( m∠3 = 30° \) (if it is an alternate interior angle with \( m∠4 \))

2. Corresponding angles are also equal, meaning:
- \( m∠2 = 30° \) (if it corresponds with \( m∠4 \))
- \( m∠1 = 30° \) (if it corresponds with \( m∠3 \))

So the angles that measure 30° can include:
- \( m∠1 \)
- \( m∠2 \)
- \( m∠3 \)

Please enter your answers in separate boxes as indicated. For example:
- angle \( ∠1 \)
- angle \( ∠2 \)
- angle \( ∠3 \)