HELP PLEASE need help with some math work

Option B:

The value of x is 13 because corresponding angles are congruent.

Solution:

In the given figure line k is parallel to line n, and line p intersects line q at a point located on line n.

Given m∠6 = (2x + 28)° and m∠11 = (6x – 24)°

To find which statement is true for the given details.

Option A: The value of x is 13 because adjacent angles are congruent.

∠6 and ∠11 are not adjacent angles.

Therefore the given statement is false.

Option B: The value of x is 13 because corresponding angles are congruent.

∠6 and ∠11 are corresponding angles.

If two parallel lines cut by a transversal, then the corresponding angles are congruent.

Therefore, m∠6 = m∠11

(2x + 28)° = (6x – 24)°

2x° + 28° = 6x° – 24°

24° + 28° = 6x° – 2x°

52° = 4x°

x = 13°

Therefore the given statement is true.

Option C: The value of x is 55 because adjacent angles are supplementary.

∠6 and ∠11 are not adjacent angles.

Therefore the given statement is false.

Option D: The value of x is 55 because corresponding angles are supplementary.

Corresponding angles are congruent not supplementary.

Therefore the given statement is false.

Option B is correct.

The value of x is 13 because corresponding angles are congruent.

answer: asdfghjkl,mnbv

step-by-step explanation: