Question

Pls give an explanation

Answer 1

A. p = 32°

Explanation:

Corresponding angles are angles that are formed when a transversal intersects two parallel lines. They are located on the same side of the transversal in corresponding positions. Corresponding angles are always congruent to each other.

In this case:

90° and (3p - 6)° are corresponding angles.

So, they are equal.

We can write it as:

90° = (3p - 6)°

Add 6 on both sides.

90 + 6 = 3p - 6 + 6

96 = 3p

Divide both sides by 3.

`\sf (96)/(3)=(3p)/(3)`

32° = p

Therefore, answer is:

A. p = 32°

Answer 2

A

Explanation:

given a pair of parallel lines , then

3p - 6 and right angle ( indicated by box ) are corresponding angles and are congruent , then

3p - 6 = 90 ( add 6 to both sides )

3p = 96 ( divide both sides by 3 )

p = 32