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In Below Fig, Ab Cd and ∠1 and ∠2 Are in the Ratio 3 : 2. Determine All Angles from 1 to 8. - Mathematics

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In below fig, AB CD and ∠1 and ∠2 are in the ratio 3 : 2. Determine all angles from 1 to 8.

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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°

Concept: Pairs of Angles
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 10 Lines and Angles
Exercise 10.4 | Q 1 | Page 46

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