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what are the measures of angles a, b, and c? show your work and explain your answers.

< a = 30because it is a vertical angle with the 30 degree angle...and vertical angles are equal

notice how < a, < b, and the 90 degree angle form a triangleinterior angles of a triangle add up to 180 degrees...and we know < a = 30
so < b is : 180 - (30 + 90) = 180 - 120 = 60< b = 60

< c and the 75 degree angle form a lineso when added, they equal 180so < c + 75 = 180< c = 180 - 75< c = 105

A is a vertical angle with 30 degrees

B is 60 because a triangle's interior angle sum is 180 degrees and 30"a"+90"right angle"=120

C is 105 because it is a supplementary angle with 75

50 % is the answer !