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These problems involve determining the missing angle in triangles, which can be solved using the triangle angle sum property. The sum of the angles in any triangle is always \( 180^\circ \).

Let's solve each one:

1) **Problem 1:**
   - Given: \( 37^\circ \) and \( 64^\circ \)
   - Sum of angles = \( 180^\circ \)
   - So, \( s = 180^\circ - (37^\circ + 64^\circ) = 180^\circ - 101^\circ = 79^\circ \)
   
   **Answer:** \( s = 79^\circ \)

2) **Problem 2:**
   - Given: \( 110^\circ \) and \( 162^\circ \)
   - The angle \( a \) seems to be external to the triangle. For external angles, the external angle is equal to the sum of the two non-adjacent interior angles. 
   - So, \( a = 162^\circ - 110^\circ = 52^\circ \)
   
   **Answer:** \( a = 52^\circ \)

3) **Problem 5:**
   - Given: \( 114^\circ \) and \( 147^\circ \) (This also seems to involve an external angle.)
   - \( h = 147^\circ - 114^\circ = 33^\circ \)
   
   **Answer:** \( h = 33^\circ \)

4) **Problem 6:**
   - Given: \( 41^\circ \) and \( 139^\circ \)
   - Use the triangle angle sum property:
   - \( k = 180^\circ - (41^\circ + 139^\circ) = 180^\circ - 180^\circ = 0^\circ \)
   
   **Answer:** \( k = 0^\circ \) 

Would you like more details or explanations on any specific part of this solution?

Here are 5 related questions to practice:
1. If two angles of a triangle are 45° and 90°, what is the third angle?
2. Can the sum of two angles of a triangle ever exceed 180°?
3. What is the value of the exterior angle of a triangle if the two opposite interior angles are 50° and 60°?
4. How do you calculate the third angle in a triangle when the other two angles are known?
5.

Find the missing angles in the given triangle problems.

Learn how to solve triangle problems by applying the triangle angle sum property and external angle theorem. This lesson includes examples where you find missing angles in various types of triangles, suitable for students in Grades 7-9.

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