Question
Find the values of x and y.
- x = 8, y = 6
- x = 7, y = 5
- x = 4, y = 9
- x = 3, y = 8
Hint:
They are always equal to each other. In other words, whenever two lines cross or intersect each other, 4 angles are formed. We can observe that two angles that are opposite to each other are equal and they are called vertical angles.
The correct answer is: x = 4, y = 9
Vertical angles are congruent. So,
10x – 4 = 6(x + 2)
10x – 4 = 6x + 12
4x = 16
x = 4
16y = 18y – 18
2y = 18
y = 9.
Hence, the correct option is C.
Vertically opposite angles are always equal.
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