SOLUTION: If m∠ABC = 85, m∠ABD = x + 30, and m∠CBD = 2x + 10, what is m∠CBD? m∠ABD?

Algebra ->  Angles -> SOLUTION: If m∠ABC = 85, m∠ABD = x + 30, and m∠CBD = 2x + 10, what is m∠CBD? m∠ABD?      Log On


   

Question 1177329: If m∠ABC = 85, m∠ABD = x + 30,
and m∠CBD = 2x + 10, what is m∠CBD? m∠ABD?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If m ∠ ABC+=+85, m ∠ ABD+=+x+%2B+30, and m ∠ CBD+=+2x+%2B+10, then we have
85%2Bx+%2B+30%2B2x+%2B+10=180........solve for x
3x+%2B+125=180
3x+=180-125
3x+=55
x+=55%2F3
then

m ∠ ABD+=+55%2F3+%2B+30
m ∠ ABD+=+145%2F3
m ∠ ABD+=+48.33
and
m ∠ CBD+=+2%2855%2F3+%29+%2B+10
m ∠ CBD+=+140%2F3
m ∠ CBD+=+46.67

check the sum:
85%2B48.33%2B46.67=180
180=180