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I see that you've uploaded an image related to interior angles of triangles. Let me help you with the missing angle measures.

### Problem Breakdown:
The sum of the interior angles of any triangle is always 180°. We can use this fact to solve for any unknown angles.

#### 1. **Triangle 1 (Left):**
   - Given: \( 26.3^\circ \), \( 90^\circ \)
   - Missing angle: \( a \)
   - Sum of angles: \( a + 26.3^\circ + 90^\circ = 180^\circ \)
   - Solution: \( a = 180^\circ - 116.3^\circ = 63.7^\circ \)

#### 2. **Triangle 2 (Right):**
   - Given: \( 61.2^\circ \), \( 75.2^\circ \)
   - Missing angle: \( k \)
   - Sum of angles: \( k + 61.2^\circ + 75.2^\circ = 180^\circ \)
   - Solution: \( k = 180^\circ - 136.4^\circ = 43.6^\circ \)

#### 3. **Triangle 3 (Left Middle):**
   - Given: \( 80.5^\circ \), \( 80.5^\circ \)
   - Missing angle: \( v \)
   - Sum of angles: \( v + 80.5^\circ + 80.5^\circ = 180^\circ \)
   - Solution: \( v = 180^\circ - 161^\circ = 19^\circ \)

#### 4. **Triangle 4 (Right Middle):**
   - Given: \( 58^\circ \), \( 33.7^\circ \)
   - Missing angle: \( e \)
   - Sum of angles: \( e + 58^\circ + 33.7^\circ = 180^\circ \)
   - Solution: \( e = 180^\circ - 91.7^\circ = 88.3^\circ \)

#### 5. **Triangle 5 (Left Bottom):**
   - Given: \( 42.4^\circ \), \( 14^\circ \)
   - Missing angle: \( y \)
   - Sum of angles: \( y + 42.4^\circ + 14^\circ = 180^\circ \)
   - Solution: \( y = 180^\circ - 56.4^\circ = 123.6^\circ \)

#### 6. **Triangle 6 (Right Bottom):**
   - Given: \( 32.6^\circ \), \( 61.7^\circ \)
   - Missing angle: \( f \)
   - Sum of angles: \( f + 32.6^\circ + 61.7^\circ = 180^\circ \)
   - Solution: \( f = 180^\circ - 94.3^\circ = 85.7^\circ \)

### Summary of Missing Angles:
1. \( a = 63.7^\circ \)
2. \( k = 43.6^\circ \)
3. \( v = 19^\circ \)
4. \( e = 88.3^\circ \)
5. \( y = 123.6^\circ \)
6. \( f = 85.7^\circ \)

Would you like more details or have any questions about these solutions?

### Related Questions:
1. How do you determine if a triangle is acute, right, or obtuse based on its angles?
2. Can the interior angles of a triangle be all the same? If yes, what kind of triangle is it?
3. What is the relationship between the sides and angles of a triangle?
4. How does the sum of exterior angles of a triangle compare to the sum of interior angles?
5. What are some methods to verify the angle measures in a triangle?

### Tip:
Remember, the sum of the interior angles of any polygon can be calculated using the formula \( 180(n-2) \), where \( n \) is the number of sides. For a triangle, \( n = 3 \), and this formula simplifies to \( 180^\circ \).

Interior angles of triangles: help me find the missing angles from the worksheet.

Learn how to find missing interior angles of triangles using the triangle sum theorem, with example problems and detailed solutions. Suitable for middle and high school students (Grades 7-10).

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