Question

In each of the following figures AB || CD. Find the value of x in each case.

Answer 1

produced ab to hb

produce and join ec to hb at point q

Step-by-step explanation:

science hb is supplimentry angle

hb =180°

then, hae=180-abe(104)

hae=73°

hqe =ecd. (alternate interior angles)

hqe=116

qb is also supplimentry

qb=180

aqe=180-hqe(116)

aqe=54

aqe is triangle then a+q+e=180

a=104-180=76

76+54+e=180

e=180-130

e=50

qea=50

now qec is supplimentry

qec = 180

qea+x+=qec

50+x=180

x=180-50

x=130