a = 55°, b = 97°, c = 83°
Step-by-step explanation:
Larger triangle:
a° + 44° + 28° + 53° = 180° (sum of angles in a triangle)
a + 125 = 180
a = 180 -125
a = 55°
The smaller triangle by the left:
a° + b° + 28° = 180° (sum of angles in a triangle)
55 + b + 28 = 180
83 + b = 180
b = 180 -83
b = 97°
The smaller triangle by the right:
53° + 44° + c° = 180° (sum of angles in a triangle)
97 + c = 180
c = 180 -97
c = 83°