Question

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

Answer 1

Answer:

y is not mentioned in the question.

40°=(2z+10)°

40°-10=2z

30=2z

30/2=z

15=z

Answer 2

Using the definition of vertical angles, the value of z is: 15.

Vertical Angles Pair

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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