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

Question
Multiple Choice

Use the diagram to answer the question.
What is the value of y?
(1 point)
Responses

2
2

4
4

16
16

20

Answer 1

The correct answer is 2.

Given that angle Upper A Upper B Upper D has a measurement of 10y degrees and angle Upper C Upper B Upper E has a measurement of 8y + 4 degrees, we can set up the following equation:

10y + 8y + 4 = 180 (the sum of angles in a triangle)

Combining like terms, we get:

18y + 4 = 180
18y = 176
y = 176/18
y = 2

Therefore, the value of y is 2.