Answer:
a = 37°
b = 34°
c = 143°
Explanation:
Hello!
The measure of Angle A is 37°, because 37° and Angle A are vertical angles, meaning they are equal in measure.
Vertical Angles are the non-adjacent angles formed by the intersection of two lines, and are equal in measure.
The measure of Angle C is 143°, found by subtracting 37° from 180°, the total number of degrees on a line.
The measure of Angle B is 34°, found by subtracting 109° and 37° from 180°. Angle B is inside a triangle, and the sum of angles in a triangle is 180°. The other two angles are 109° and 37° (Angle A), so the measure of Angle B should be 34°.