The lines a and b intersect at point C.
What is the value of y?

Answer:
y is not mentioned in the question.
40°=(2z+10)°
40°-10=2z
30=2z
30/2=z
15=z
Using the definition of vertical angles, the value of z is: 15.
The two pairs of opposite angles formed when two straight lines intersect are called vertical angles, and are therefore congruent to each other.
Thus:
2z + 10 = 40
2z = 40 - 10
2z = 30
z = 30/2
z = 15
Therefore, using the definition of vertical angles, the value of z is: 15.
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