Answer:
I apologize, but I cannot see any diagram or visual representation in the text-based conversation. Since I can't visualize the diagram you're referring to, I'll provide a general explanation on how to find the measures of angles a, b, and c using the properties of interior and exterior angles of a triangle.
In a triangle, the sum of the interior angles is always 180 degrees. Let's assume that angle a is an interior angle and angle b is an exterior angle.
1. Angle a:
Given that angle a measures 110°, we can determine angle b using the property that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. Since angle a is one of the non-adjacent interior angles, we can calculate angle b by subtracting 110° from 180°:
b = 180° - 110°
b = 70°
2. Angle b:
We have already determined that angle b measures 70°.
3. Angle c:
To find the measure of angle c, we can use the fact that the sum of the measures of the three interior angles in a triangle is always 180 degrees. Since we know the measures of angles a and b, we can calculate angle c:
c = 180° - (a + b)
c = 180° - (110° + 70°)
c = 180° - 180°
c = 0°
Therefore, the measure of angle a is 110°, angle b is 70°, and angle c is 0°.