SOLUTION: This question is not worded, just a drawing so I am not sure what 2x-5 is representing, but here is what i can make of it : In Triangle CAB, BC is extended through point D. Angle C

Algebra ->  Triangles -> SOLUTION: This question is not worded, just a drawing so I am not sure what 2x-5 is representing, but here is what i can make of it : In Triangle CAB, BC is extended through point D. Angle C      Log On


   

Question 1013260: This question is not worded, just a drawing so I am not sure what 2x-5 is representing, but here is what i can make of it : In Triangle CAB, BC is extended through point D. Angle CAB = 38 degrees,
side AC (or angle ACD)= 2x-5, and BC = x+3.
What is the measure of angle ACD?
What is the measure of BC?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
In Triangle CAB, BC is extended through point D. Angle CAB = 38 degrees,
side AC (or angle ACD)= 2x-5, and BC = x+3.
:
What is the measure of angle ACD?
Is this drawn as a right triangle, angle B = 90 degrees?
then
angle ACB = 180 - 90 - 38 = 52 degrees
therefore
angle ACD = 180 - 52 = 128 degrees
Also
sin(38) = %28%28x%2B3%29%29%2F%28%282x-5%29%29
.61566 = %28%28x%2B3%29%29%2F%28%282x-5%29%29
.62566(2x-5) = x + 3
1.23x - 3.078 = x + 3
1.23x - x = 3 + 3.078
.23x = 6.078
x = 6.078%2F.23
x = 26.427
:
What is the measure of BC?
26.427 + 3 = 23.427
:
:
If this is not a right triangle none of this applies, it becomes a much more complicated problem