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Find the value of the variable, I understand the two angles are corresponding with one another but how would I find the value of the variable with what's given?

Find the value of the variable, I understand the two angles are corresponding with one another but how would I find the value of the variable with what s given? class=

Verified Answer :

As you may know, this means that 3p-6 is equal to 90 degrees. Set up an equation:
3p-6 = 90
3p = 96
p = 32

Answer:

The value of p is 32°

Step-by-step explanation:

Consider the provided figure.

If two lines are intersect by another line or Transversal then the angles in matching corners are called Corresponding Angles.

The value or measure of corresponding angles are same.

Here we can see two parallel lines are intersected by the transversal as shown.

The transversal makes an angle of 90° with two parallel line.

Note: The sign in figure shown below shows that the angle is 90°

Therefore,

\(90=(3p-6)\) Corresponding angles

\(90+6=3p\)

\(3p=96\)

\(p=32\)

Hence, the value of p is 32°

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