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2 answers:
M<6 = m<4 = 2x + 39 (vertical angles)
and m < 1 is also = m<4 (corresponding angles)
Therefore we have:-
2x + 39 = 8x + 15 Solving for x:-
2x - 8x = 15 - 39
-6x = - 24
x = 4
So the measure of <6 = 2(4) + 39 = 47 degrees.
8x+15 = 2x+39
8x =2x+24
6x = 24
x = 24/6 = 4
angle 4 = 2(4) +39 = 8+39 = 47
angle 6 = angle 4
angle 6 = 47 degrees
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