Question

In the given figure line m is parallel
to line n and angles 1 and 2 are in
the ratio 3:2. Determine all the
angles from 1 to 8.
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Answer 1

Step-by-step explanation:

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Answer 2

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