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Question
In below fig, AB CD and ∠1 and ∠2 are in the ratio 3 : 2. Determine all angles from 1 to 8.
Solution
Let `∠`1 = 3x and `∠`2 = 2x
`∠`1and `∠`2 are linear pair of angle
Now, `∠`1+ `∠`2 = 180°
⇒ 3x + 2x = 180°
⇒ 5x = 180°
x = `(180°)/5`
⇒ x = 36°
∴`∠`1 = 3x = 108°, `∠`2 = 2x = 72°
Vertically opposite angles are equal
`∠`1 = `∠`3 = 108°
`∠`2 = `∠`4 = 72°
`∠`6 = `∠`7 = 108°
`∠`5 = `∠`8 = 72°
Corresponding angles
`∠`1 = `∠`5 = 108°
`∠`2 = `∠`6 = 72°
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