Point D is on the interior of angle ABC. Use the given information to find m angle DBC. (Draw the picture.)

M angle ABC = (5x +6)
M angle ABD = (7x - 9)
M angle DBC = (5x - 6)

Answer so far:
(5x + 6) + (5x - 6) = (7x - 9)
10x = 7x - 9
10 x - 7x = -9
3x = -9
X = -3

Do not understand how to draw the picture.

well, just draw angle ABC.

Then pick a point D somewhere between B and C, and draw the ray BD.

Then you have

(7x-9)+(5x-6) = (5x+6)

ABC is the big angle. ABD + DBC = ABC

To draw the picture, start by drawing a line segment AC. Then, place point B on one side of the line segment AC, and point D on the other side.

Next, draw a line segment BD, and extend it to create an angle BCD.

Label the angle at vertex A as angle ABC, the angle at vertex B as angle ABD, and the angle at vertex C as angle DBC.

Make sure point D is inside the angle ABC, as mentioned in the question.

This should give you a clear visual representation of the given information.

To draw the picture to solve this problem, follow these steps:

1. Draw a straight line and label it as line AB.
2. Place point C on line AB.
3. From point C, draw an arc to create angle ABC. Label this angle as (5x + 6).
4. From point C, draw a ray in the opposite direction from line AB. This ray will be angle CBD.
5. From point C, draw another ray inside angle ABC. This ray will be angle ABD.
6. Label angle ABD as (7x - 9).
7. Label angle DBC as (5x - 6).
8. Make sure point D is inside angle ABC, as mentioned in the given information.

By following these steps and drawing the picture accurately, you can visualise the angles and easily solve for x and the measure of angle DBC.