What are the measures of Angles a, b, and c? Show your work and explain your answers. (10 points)

a = 30, b = 60, c = 105

Step-by-step explanation:

a and the 30 degree angle are vertical angles, so they are equal. a = 30

a, b, and the 90 degree angle are all in a triangle together, so they add up to 180 degrees. 30 degrees + b + 90 degrees = 180, 120 degrees + b = 180,

b = 60 degrees

c and the 75 degree angle are on a line together, so they add up to 180:

c + 75 = 180

c = 105 degrees

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.