Answer:
a = 90°
b = 90°
c = 50°
Step-by-step explanation:
The angle with a measure of 40° and the angle labeled "c" are complementary angles
Complementary angles add up to equal 90°
Thus 40 + c = 90
90 - 40 = 50
Thus c = 50
∠A and the angle with a right angle are supplementary angles
Supplementary angles add up to equal 180°
Thus, ∠a + 90 = 180
180 - 90 = 90
Thus, ∠a = 90
∠a ≅ ∠b because vertical angles
because ∠a = 90°, ∠b also equals 90°
