Tell which angles are congruent to the given angle measure.

Generally:

- Vertical angles are congruent.   An example of vertical angles on the diagram are angles 1 and 4; they are opposite each other on the two intersecting lines.

When two parallel lines are intersected by a transversal:

- Corresponding angles are congruent.   Corresponding angles are angles on the same side of the transversal with corresponding positions, such as angles 2 and 5 in the diagram.

- Alternate interior angles are congruent.   Angles 3 and 5 are an example of alternate interior angles on the diagram.  They are contained within the interior of the two parallel lines, and are on opposite sides of the transversal.

- Alternate exterior angles are congruent.   These angles lie on the outside of the parallel lines and on opposite sides of the transversal.  Angles 1 and 7 are an example of alternate exterior angles.

Looking at the diagram, we can recognize that our given angle of 56° creates a vertical angle pair with angle 7; these angles are congruent.  Additionally, since corresponding angles are congruent, angles 4 and 7 are congruent.  Notice that angle 4 creates a vertical angle pair with angle 1, and that angle 1 also corresponds to the given angle.

The angles which are congruent to the given angle measure are:

∠1, ∠4 and ∠7

hi,

6x times 4 is 24x and 5 times 4 is 20, so the answer is 24x+20.

hope this and for a little humor i am groot.