If the measure of an angle adjacent to the given angle is represented by the expression (24x+30)° using the same value for x, what is the measure of the adjacent angle?

Answers

Answer 1

Answer:

rude

Explanation:

just cruel.

Answer 2

The measure of the adjacent angle is 150° when the value of x is 5.

What are the vertical angles?

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

The given angle measures 30°, and the measure of its vertical angle is expressed as (5x + 5)°

We know that vertically opposite angles are equal to each other

So 5x + 5 = 30

⇒ 5x = 30 - 5

⇒ 5x = 25

⇒ x = 25/5

⇒ x = 5 ....(i)

The measure of an angle adjacent to the given angle is represented by the expression (24x + 30)° using the same value for x

⇒ (24x + 30)°   ....(ii)

Substitute the value of x = 5 in (24x + 30)°

⇒ 24(5) + 30

⇒ 120 + 30

⇒ 150°

Therefore, the measure of the adjacent angle is 150° when the value of x is 5.

Learn more about the Angles here:

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The question seems to be incomplete the correct question would be

A given angle measures 30°, and the measure of its vertical angle is expressed as (5x + 5)°.

A. Write an equation to determine the value of x. Solve for x.

B. If the measure of an angle adjacent to the given angle is represented by the expression (24x + 30)° using the same value for x, what is the measure of the adjacent angle?


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