bisected angleAngle Upper A Upper B Upper D has an angle of 10 y degrees. A line labeled upper I intersects between the rays D and C with the equation 3x. A line intersects Angles upper A Upper B upper C and angle upper C upper B upper E, into into two right triangles. Triangles Upper A upper B upper G, side upper L upper G has the measurement of 3X, and triangle upper G upper B upper H, side upper G upper H has the measurement of 5x minus 10. Angle upper C upper B upper E has the angle left parenthesis 8 y plus 4 right parenthesis degree.

Question

bisected angleAngle Upper A Upper B Upper D has an angle of 10 y degrees.  A line labeled upper I intersects between the rays D and C with the equation 3x.  A line intersects Angles upper A Upper B upper C and angle upper C upper B upper E, into into two right triangles. Triangles Upper A upper B upper G, side upper L upper G has the measurement of 3X, and triangle upper G upper B upper H, side upper G upper H has the measurement of 5x minus 10. Angle upper C upper B upper E has the angle left parenthesis 8 y plus 4 right parenthesis degree. 
Question
Multiple Choice

Use the diagram to answer the question.
What is Angle DBE?
(1 point)
Responses

20
20

30
30

40
40

50

GPT 3.5 · Answer

The correct answer is 40.

To find Angle DBE, we need to find the sum of angles CBE and CBD.
Angle CBE is given as 8y + 4 degrees, which is 8(10) + 4 = 84 degrees.
Angle CBD is given as 10 degrees.

Therefore, Angle DBE = 84 + 10 = 94 degrees.

Since 94 degrees is not an option, the closest option is 90 degrees.