In the given figure, m parallel n and angle 1 and angle 2 are in the r

1.	In the given figure, m parallel n and angle 1 and angle 2 are in the ratio 4:5 Determine all the anglesplease step by step solution.
Answer» Answer: First we KNOW the ratio of angle 1 and ANGEL 2 So let angle 1 =3X and angle 2=2x Angle 1 +angle 2=180(linear PAIR) So 3x+2x=180 5x=180 X=180/5 X=36 Now we know the value of x so Angle 1=3x 3x36=108 degree Angle 2 =2x 2x36=72 degree Now angle 1=angle 3(vertically opposite angle) Angle 3=108degree And angle 2=angle 4(vertically opposite angle) Angle 4=72degree Angle 4=angle 6(alternate interior angle) So angle 6 =72degree Now angle 6 +angle 5=180(linear pair) 72+angle 5=180 Angle 5=180-72 Angle 5=108degree Now Angle 6=angle 8(vertically opposite) Angle 8=72degree And Angle 5=angle 7 Angle7=108 degree HOPE YOU LIKE IT THANK YOU

In the given figure, m parallel n and angle 1 and angle 2 are in the ratio 4:5 Determine all the anglesplease step by step solution.

Answer»

Answer:

First we KNOW the ratio of angle 1 and ANGEL 2

So let angle 1 =3X and angle 2=2x

Angle 1 +angle 2=180(linear PAIR)

3x+2x=180

5x=180

X=180/5

X=36

Now we know the value of x so

Angle 1=3x

3x36=108 degree

Angle 2 =2x

2x36=72 degree

Now angle 1=angle 3(vertically opposite angle)

Angle 3=108degree

And angle 2=angle 4(vertically opposite angle)

Angle 4=72degree

Angle 4=angle 6(alternate interior angle)

So angle 6 =72degree

Now angle 6 +angle 5=180(linear pair)

72+angle 5=180

Angle 5=180-72

Angle 5=108degree

Now

Angle 6=angle 8(vertically opposite)

Angle 8=72degree

And

Angle 5=angle 7

Angle7=108 degree

HOPE YOU LIKE IT

THANK YOU