Question

in Fig.10.103 , ABBICO and <1 and <2 are in the
ratio 3:2 Determine all angle from 1 to 8.
CA
22 Bu
33
e
Fig. 10-10.3
Fig.10.102​

Answer 1

Answer:

Given m//n,therefore angle1=3x and angle2=2x

therefore 3x+2x=180(linear pair) so x=36

therefore angle1= 108and angle2=72

so,angle2=angle4

72 =72(vertically opposite angles are equal)

and,angle1=angle3

108=108

angle3=angle5(alternate interior angle are equal)

so,108 =108

and,angle4=angle6(alternate interior angle are equal)

72=72

therefore,angle8=angle6

72=72

and,angle5=angle7

108=108

so,angle1=108,angle2=72,angle3=108,angle4=72,angle5=108,angle6=72,angle7=108,angle8=72