SOLUTION: <1 and <2 are supplementary angles m<1 is 5y+16 and m<2 is 10y +14 find m<2

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Question 1125389: <1 and <2 are supplementary angles m<1 is 5y+16 and m<2 is 10y +14 find m<2
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Supplementary angles sum up to 180 degrees


    (5y + 16) + (10y + 14) = 180.


Solve for y.  Then evaluate (5y+16)  and  (10y+14).


Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
two angles are supplementary when they add up to 180 degrees
m<1+m<2=180
since given m<1=5y+%2B16 and m<2=10y+%2B14
we have:

5y%2B16+%2B10y+%2B14=180
15y%2B30=180
15y=180-30
15y=150
y=10

if m<2=10y+%2B14, we have
m<2=10%2A10+%2B14
m<2=100+%2B14
m<2=highlight%28114%29 degrees

check:
first find
m<1=5y+%2B16
m<1=50+%2B16
m<1=highlight%2866%29

114%2B66=180
180=180 which confirms our solution