Question

What are the measures of angles A,B and C?

show your work and explain your answers.




PLEASE HELP!!​

Answer 1

a=30

b=60

c=105

Explanation:

We know a=30 because 30 and a are the same

The middle forms a triangle and triangles are equal to 180

The box indicates that the angle is 90 degrees

180=a+b+90

180=30+90+b

b=60

Angle c is supplementary to 75 so it must equal 180

180=c+75

c=105

Let me know if you have any questions!

Answer 2

<a = 30

<b = 60

<c = 115

Explanation:

<a = 30 since they are vertical angles and vertical angles are equal

<a + < b + 90 = 180 since they make a triangle

30 + <b +90 = 180

120 + <b = 180

<b = 180-120

<b = 60

<c + 75 = 180 since they form a straight line

<c = 180-75

<c = 115