Mathematics High School

Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10.

What is m angle D?

Angle C And Angle D Are Vertical Angles With M Angle C = -x + 26 And M Angle D = 2x - 10.What Is M Angle

Answers

Answer 1

Answer:

m∠D = 14

Step-by-step explanation:

According to the vertical angle theorem, both of these angles are congruent.

This means that they are equal (m∠C = m∠D) and we can solve for x:

m∠C = m∠D

-x + 26 = 2x - 10 (substitute in the equations)

-3x + 26 = -10 (subtract 2x from both sides)

-3x = -36 (subtract 26 from both sides)

x = 12 (divide both sides by -3)

Now that we know what x is, we can find m∠D by plugging it back into the equation:

m∠D = 2x - 10

m∠D = 2(12) - 10 (substitute the value for x in)

m∠D = 24 - 10

m∠D = 14

Answer 2

The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Angle C and angle D are vertical angles with m∠C = -x + 26 and m∠D = 2x - 10.

∠C = ∠D

-x + 26 = 2x - 10

3x = 36

x = 12

Then the measure of the angle D will be

m∠D = 2x - 10

m∠D = 2(12) - 10

m∠D = 24 - 10

m∠D = 14°

The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.

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#SPJ2

Related Questions

Solve

3x + 8 = 2x + 21

Answers

Answer:

Step-by-step explanation:Simplifying

3x + 8 = 2x + -21

Reorder the terms:

8 + 3x = 2x + -21

Reorder the terms:

8 + 3x = -21 + 2x

Solving

8 + 3x = -21 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

8 + 3x + -2x = -21 + 2x + -2x

Combine like terms: 3x + -2x = 1x

8 + 1x = -21 + 2x + -2x

Combine like terms: 2x + -2x = 0

8 + 1x = -21 + 0

8 + 1x = -21

Add '-8' to each side of the equation.

8 + -8 + 1x = -21 + -8

Combine like terms: 8 + -8 = 0

0 + 1x = -21 + -8

1x = -21 + -8

Combine like terms: -21 + -8 = -29

1x = -29

Divide each side by '1'.

x = -29

Simplifying

x = -29

3x + 8 = 2x + 21

3x - 2x + 8 = 21

x + 8 = 21

x = 21 - 8

x = 13

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Answers

The answer will be negative, the rules are a negative plus a negative equals a positive and a positive plus a positive equals a negative

The relation between multiplying and dividing two negative fractions is needed.

When multiplying and dividing two negative fractions the answer will be always positive.

Let [tex]-\dfrac{a}{b}[/tex] be one fraction

and [tex]-\dfrac{c}{d}[/tex] be another fraction

Let us multiply them

[tex]-\dfrac{a}{b}\times -\dfrac{c}{d}=+\dfrac{ac}{bd}[/tex]

Let us divide them

[tex]\dfrac{-\dfrac{a}{b}}{-\dfrac{c}{d}}[/tex]

This can also be written as

[tex]-\dfrac{a}{b}\times -\dfrac{d}{c}=+\dfrac{ad}{bc}[/tex]

Since, multiplication and division are the inverse of each other the negative signs cancel each other and the sign is positive.

Hence, when multiplying and dividing two negative fractions the answer will be always positive.

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

[tex]\angle AFY=140^\circ[/tex]

[tex]\angle LIM=117^\circ[/tex]

Step-by-step explanation:

The sum of interior angles of a polygon of n sides is:

[tex]S=180^\circ (n-2)[/tex]

The image shows a 6-side polygon. The sum of the interior angles is:

[tex]S=180^\circ (6-2)=720^\circ[/tex]

The sum of all the shown interior angles must equal 900°:

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Simplifying:

[tex]486+2y=720[/tex]

Solving:

[tex]2y=720-486[/tex]

[tex]2y=234[/tex]

[tex]y=234 / 2=117[/tex]

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[tex]\angle AFY=y+23=117+23=140[/tex]

[tex]\boxed{\angle AFY=140^\circ}[/tex]

[tex]\angle LIM=y=117[/tex]

[tex]\boxed{\angle LIM=117^\circ}[/tex]

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Answers

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Answers

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Answers

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Answers

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|18-4|

|14|

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