Answer:
please see answers below
Explanation:
A) the angles are equal. they are called alternate angles.
two parallel lines with a line transversal line cutting across them makes the angles look like a Z. so 9 (x - 6) = 5 (x + 6).
9(x - 6) = 5 (x + 6)
multiply brackets:
9x - 54 = 5x + 30
subtract 5x from both sides:
4x -54 = 30
add 54 to both sides:
4x = 84
divide by 4:
x = 21.
B) 5 (x + 6) = 5 (21 + 6) = 5(27) = 135°.
C) 9(x - 6) = 9 (21 - 6) = 9 (15) = 135°.
we expected C to equal B since they are alternate angles