Question

Help!

Answer 1

yes

Answer 2

Ray QK is the angle bisector of ÐLQM. If mÐ6 = 4x + 12 and mÐ7 = 7x – 9, find the degree measure of ÐLQM.
Select one:
a. 49°
b. 40°
c. 20°
d. 80°

Answer 3

Angle bisector means that is splits the angle into two equal parts, the parts being angles 6 and 7. If 6 = 4x + 12, and 7 = 7x - 9, then
4x + 12 = 7x - 9
Solve for x
-3x = -21
x = 7

Plug back in to find the degree measure of angle 6/7
4(7) + 12
28 + 12
40

Times 2
80

The answer

Answer 4

1) Please, note that m6=m7, so you can solve this equation:
\[4x+12=7x-9\]
from which you get the value of x.
2) note that <LQM = <6 + <7= \[4x+12+7x-9\]
substituting your value for x, which you have found in point 1), you can get the requested measure.
Please, tell me your result!