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 $180^\circ$.