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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