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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°
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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
11x+3=180
I will solve for you, cause I typed wrongly.
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.
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So, it would be 4x+12=7x-9
after you solve for x which is 7, you would plug it back in so.
4(7)+12+7(7)-9=28+12+49-9=80, so the answer is 80 degrees.
thanks (:
Np
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