Question

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

Answer 1

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

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