PLEASE HELP ME
Given that line a is parallel to line b and that line c is parallel to line d, if m angle 13 = (12x-22) and m angle 14 = (9x-29), find measure angle 2.

Question

anonymous · Answer

a. 65
b. 70
c. 85
d. 110

anonymous · Answer

attachment

raden · Answer

the first step, solve for x
12x-22 + 9x - 29 = 180 (it is suplement angles)

anonymous · Answer

Do I subtract -22 and -29?

raden · Answer

just combine the similar terms then simplify, it can be 
12x-22 + 9x - 29 = 180
(12x+9x) - 22 - 29 = 180
21x - 51 = 180

raden · Answer

now, add by 51 to both sides, what u get ..

anonymous · Answer

x = 65.5?

anonymous · Answer

I mean, 21x = 231, then i divide both sides by 21?

anonymous · Answer

Nothing makes sense...

raden · Answer

21x - 51 = 180 
add by 51 to both sides, giving us
21x - 51+51 = 180+51
21x = 231

then divide by 21 to both sides,
21x/21 = 231/11
x = 21

anonymous · Answer

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anonymous · Answer

$$m<13=m<8   \left( alternate angles \right)$$
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