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°

Question

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°

anonymous · Answer

attachment

anonymous · Answer

Now, the sum of an angle of a straight line is 180 degrees. Now, since they gave you 2 parts, you would add them and set them equal to 180 so

anonymous · Answer

11x+3=180

anonymous · Answer

I will solve for you, cause I typed wrongly.

anonymous · Answer

Ok, a angle bisector cuts an angle in half. Since they cut 6 and 7 in half, you would set them equal to each other.

anonymous · Answer

So, it would be 4x+12=7x-9

anonymous · Answer

after you solve for x which is 7, you would plug it back in so.

anonymous · Answer

4(7)+12+7(7)-9=28+12+49-9=80, so the answer is 80 degrees.

anonymous · Answer

thanks (:

anonymous · Answer

Np