Question

In Fig. 9.35, AB divides ∠DAC in the ratio 1: 3 and AB =DB. Determine the value of x.

Answer 1

Answer:

Step-by-step explanation:

1:3

1a+3a+108=180 .⇒ as DAE is a straight line

a=18=ANGLE DAB

now as AB=DB

angle ADB=DAB ⇒ isosceles triangle property

THEREFORE angle ADB=DAB=18

as DAB is a triangle

18+18+DBA=180

DBA=144

DBA+ABC=180

ABC=36

BAC=3a=54

now in triangle ABC

ABC+BCA+CAB=180

36+X+54=180

X=90