Question

Find the value of x in each case:
QUICKLY PLEASE

Answer 1

Answer:

for 2nd figure answer is 18

Step-by-step explanation:

4x+6x=180°(Being co-interior angle)

or,10x=180°

or,x=180°/10

or,x=18

Answer 2

Answer:

image 1 ---- x = 11

image 2 ---- x = 22.5

Step-by-step 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