Question

In figure m is parallel to n and angles 1 and 2 are in the ratio 3:2 determine all the angles from the 1 to 8

Answer 1

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

Answer 2

Hey Here Is Your Answer! ! ! !

Angle 1 & 2 are in ratio 3 : 2
Angle 1 & 2 are on straight line
So 3x + 2x = 180

So Angle 1 + Angle 2 = 180
3x + 2x = 180
5x = 180
x = 36

So Angle 2 = 2x
= 2(36)
= 72

So Angle 1 = 3x
= 3(36)
= 108

Angle 2 = 4 ( Vertically Opposite Angle )
So Angle 4 = 72

Angle 1 = 3 ( Vertically Opposite Angle )
So Angle 3 = 108

Angle 3 = 5 ( Alternate interior angle )
So Angle 5 = 108

Angle 4 = 6 ( Alternate interior angle )
So Angle 6 = 72

Angle 1 = 7 ( Alternate exterior angle )
So Angle 7 = 108

Angle 2 = 8 ( Alternate exterior angle )
So Angle 8 = 72



I hope its helpfull for you.

IF IT HELPFULL FOR YOU THAN MARK AS A BRAINLIST.

THANK YOU.


☺ ☺ ☺ ☺ ☺ ☺ ☺ ☺ ☺