https://file.aiquickdraw.com/mathbot/file/17303138114768p77q064.jpg

To solve for \( m\angle 1 \) and \( m\angle 2 \) in the figure provided:

1. **Identify angle relationships**:
   - Given that one of the angles measures \( 136^\circ \), and the triangle has two other angles marked as \( \angle 1 = 81^\circ \) and \( \angle 2 \).
   - The sum of all interior angles in a triangle is \( 180^\circ \).

2. **Calculate \( m\angle 2 \)**:
   - Since the triangle has angles \( 81^\circ \), \( 136^\circ \), and \( m\angle 2 \),
   \[
   m\angle 2 = 180^\circ - 81^\circ - 136^\circ = 63^\circ
   \]

So:
- \( m\angle 1 = 81^\circ \)
- \( m\angle 2 = 63^\circ \)

Would you like further details on this solution, or have any questions?

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### Related Questions:
1. How would you find the third angle if two angles of a triangle are known?
2. What are supplementary and complementary angles?
3. Can you explain the exterior angle theorem in a triangle?
4. What is the relationship between angles in a triangle and a straight line?
5. How do we identify different types of triangles based on angles?

### Tip:
Always remember that the sum of angles in any triangle is \(180^\circ\). This helps in solving for unknown angles.

For the figure shown, find m∠1 and m∠2.

Calculate m∠1 and m∠2 in a triangle given angles of 81° and 136°. Learn how to apply the angle sum property to solve for unknown angles. Suitable for students in Grades 6-8.

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