SOLUTION: Angle AB are pararelle to CD abd cut by transversal EFGH. if measure angle EFB = 4x+5 and measure angle FGD = 8x-13,find measure angle EFB.

Algebra ->  Angles -> SOLUTION: Angle AB are pararelle to CD abd cut by transversal EFGH. if measure angle EFB = 4x+5 and measure angle FGD = 8x-13,find measure angle EFB.      Log On


   

Question 117339: Angle AB are pararelle to CD abd cut by transversal EFGH.


if measure angle EFB = 4x+5 and measure angle FGD = 8x-13,find measure angle EFB.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given:
AB || CD, and abd cut by transversal EFGH

EFB+=+4x%2B5 and measure angle FGD+=+8x-13
to find: measure angle EFB
since AB || CD, and abd cut by transversal EFGH, => that EFB is congruent to FGD

then we have:
EFB=FGD
+4x%2B5+=+8x-13 ..solve for x

+5+%2B+13+=+8x-4x
+18=+4x
+18%2F4+=+x

+9%2F2+=+x
EFB+=+4%289%2F2%29%2B5
EFB+=+2%289%29%2B5
EFB+=+18+%2B+5
EFB+=+23
check the other one:
FGD+=+8%289%2F2%29-13
FGD+=+4%289%29-13
FGD+=+36+-+13
FGD+=+23