https://file.aiquickdraw.com/mathbot/file/1727491903433q1tzb2ho.jpg

The image shows a pair of scissors, where angles are marked. Angle \( m\angle 4 = 29^\circ \) is given, and we need to find the other three angles (\( m\angle 1 \), \( m\angle 2 \), and \( m\angle 3 \)).

### Solution:

- Angles \( \angle 1 \) and \( \angle 3 \) appear to be **vertical angles**, which means they are congruent (equal in measure). Therefore:
  \[
  m\angle 1 = m\angle 3
  \]

- Angles \( \angle 2 \) and \( \angle 4 \) are **also vertical angles**, meaning:
  \[
  m\angle 2 = m\angle 4 = 29^\circ
  \]

- The sum of the angles on a straight line is \( 180^\circ \). Since \( \angle 1 \) and \( \angle 2 \) are adjacent on the straight line formed by the scissors, we have:
  \[
  m\angle 1 + m\angle 2 = 180^\circ
  \]
  Substituting \( m\angle 2 = 29^\circ \):
  \[
  m\angle 1 + 29^\circ = 180^\circ
  \]
  \[
  m\angle 1 = 180^\circ - 29^\circ = 151^\circ
  \]
  Thus:
  \[
  m\angle 1 = 151^\circ
  \]
  And since \( m\angle 1 = m\angle 3 \), we also have:
  \[
  m\angle 3 = 151^\circ
  \]

### Final answers:
- \( m\angle 1 = 151^\circ \)
- \( m\angle 2 = 29^\circ \)
- \( m\angle 3 = 151^\circ \)

Would you like more details or have any questions?

Here are 5 related questions:
1. What are vertical angles and why are they always congruent?
2. Can angles in any other type of figure be considered vertical angles?
3. How do we calculate unknown angles on a straight line?
4. What is the sum of angles around a point?
5. How do adjacent angles relate to complementary and supplementary angles?

**Tip**: Remember that vertical angles are always equal, and angles on a straight line sum to 180°, which is useful in many geometry problems.

Use the diagram and the given angle measure (m∠4 = 29°) to find the other three measures.

In this geometry problem, learn how to find missing angle measures using the given m∠4 = 29° and the relationships between vertical angles and supplementary angles. Suitable for students in Grades 6-8.

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