Answer:
v=150°
w=50°
x=100°
y=15°
z=50°
Explanation:
v
v is located on a straight line with a 30° angle. The angles along a straight line always add to 180°. So:
v+30=180
v =180-30=150
w
Take a look at the attachment below, it shows what corresponding angles look like and notes that they are equal to each-other. That means w corresponds and is equal to the angle that shares a straight line with 130°. As noted above, the angles along a straight line always add to 180°. So:
w+130=180
w=180-130=50
x
x is in a triangle with 30° and the angle corresponding and therefore equal to w, which we just found to be 50°. The angles in a triangle also always add to 180°. So:
x+30+50=180
x+80=180
x =100
y
2y is located along a straight line with w and x. As outlined, the angles along a straight line equal 180° and we also know=50 and x=100. So: 2y+50+100=180
2y+150=180
2y=30
y=15
z
z is located on a straight line with a 130° angle. Again, the angles along a straight line always add to 180°. So:
z+130=180
z1=180-30=50