Answer:
image 1 ---- x = 11
image 2 ---- x = 22.5
Explanation:
Image 1
finding the value at EFB
180 - 147 = 33 degrees
since DEBC is a "Z" angle means that the value at DEB and EBC is the same value of 4x.
therefore :
FEB = 180 - 4x
therefore to find x
NB : total value of triangle is 180 degrees
180 = 33 + (180-4x) +x
180 = 33 + 180 -4x + x
180 = 213 -3x
make x the subject of formula
180-213 = -3x
-33 = -3x
x = -33/-3
x = 11
Image 2
DEA = BAE
therefore BAE = 2x
DEB = 180 - 4x
ABE = 180 - 6x
NB : total value of triangle is 180 degrees
180 = 2x + (180- 4x) + (180 - 6x)
180 = 2x + 180 - 4x +180 - 6x
180 = -8x + 360
-180 = -8x
x = 22.5