Question

# Solve for *x*.

- 49
- 41
- 44.5
- 48

Hint:

### Linear pair of angles are formed when two lines intersect each other at a single point.

## The correct answer is: 48

### They are a linear pair, so they are supplementary angles.

2x + 1 + 83 = 180

2x + 84 = 180

2x = 180 – 84 = 96

x = 48

Hence, the correct option is (d).

In math, a linear pair of angles are those two adjacent angles whose sum is 180°.

### Related Questions to study

### Solve for *x*.

When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.

### Solve for *x*.

When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.

### Angles 4 and 1 are what angle pair?

Supplementary angles can either be adjacent or non-adjacent. So, there are two types of supplementary angles. Each of these types of supplementary angles is explained below.

(1) Adjacent Supplementary angle.

(2) Non - Adjacent Supplementary angle.

### Angles 4 and 1 are what angle pair?

Supplementary angles can either be adjacent or non-adjacent. So, there are two types of supplementary angles. Each of these types of supplementary angles is explained below.

(1) Adjacent Supplementary angle.

(2) Non - Adjacent Supplementary angle.

### What is the value of *x*?

When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.

### What is the value of *x*?

### Name a pair of angles that are vertical.

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.

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### Find the values of *x* and *y*.

Vertically opposite angles are always equal.

### Find the values of *x* and *y*.

Vertically opposite angles are always equal.

### 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:

If m∠3 = 32, then m∠2 =?

Angle 2 and 3 form a right angle.

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

If m∠3 = 32, then m∠2 =?

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

if m∠ DHF = 133, then m∠ CHG =?

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

if m∠ DHF = 133, then m∠ CHG =?

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∠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∠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:

If m∠3 = 30, then m∠6 =?

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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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### In the diagram, if m∠2 = 62, find m∠1, m∠3, and m∠4.

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### Where do planes AGE, GHI, and JIE intersect?

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### Where do plane ACH and plane GFE intersect?

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