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
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.