SOLUTION: <ABD and < BDE are supplementary. Find the measure of both angles. m< ABD =(12x-12)degrees, m< BDE = (3x+48) degrees

Algebra ->  Angles -> SOLUTION: <ABD and < BDE are supplementary. Find the measure of both angles. m< ABD =(12x-12)degrees, m< BDE = (3x+48) degrees      Log On


   

Question 651077: m< ABD =(12x-12)degrees, m< BDE = (3x+48) degrees
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
<ABD and < BDE are supplementary; so, they add up to 180 degrees
if m < ABD+=%2812x-12%29degrees, m < BDE+=+%283x%2B48%29 degrees, then

%2812x-12%29%2B%283x%2B48%29=180... now you can first find x
12x-12%2B3x%2B48=180
15x%2B36=180
15x=180-36
15x=144
x=144%2F15
x=9.6
now you can find {{x}}} m+<ABD and m < BDE
m< ABD+=%2812x-12%29degrees,
m< ABD+=%2812%2A9.6-12%29degrees
m< ABD+=%28115.2-12%29degrees
m< highlight%28ABD+=103.2%29degrees


m< BDE+=+%283x%2B48%29
m< BDE+=+%283%2A9.6%2B48%29
m< BDE+=+%2828.8%2B48%29
m< highlight%28BDE+=+76.8%29degrees