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.

### Related Questions to study

### In a figure, ∠ A and ∠ D are complementary angles and m∠ A = 4x. Which expression can be used to find m∠ D?

Sum of angles A and D is 90°.

### In a figure, ∠ A and ∠ D are complementary angles and m∠ A = 4x. Which expression can be used to find m∠ D?

Sum of angles A and D is 90°.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

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### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

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### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

If m∠6 = 27, then m∠1 =?

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### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

If m∠6 = 27, then m∠1 =?

Vertical angles are formed when two lines meet each other at a point.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

if m∠ BHF = 115, then m∠3 =?

Vertical angles are formed when two lines meet each other at a point.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

if m∠ BHF = 115, then m∠3 =?

Vertical angles are formed when two lines meet each other at a point.

### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

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### Given that m∠FHE = m∠BHG = m∠AHF = 90 in the below diagram, answer the following:

If m∠3 = 30, then m∠6 =?

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### Name a point that is coplanar with A, E, and J.

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### Use the diagram to tell if the statement is true or false.

∠NKL and ∠JKM are vertical angles.

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