Question

In fig., q || r and p is transversal. If <1 and <2, 3 : 2 then the values of <3 and <4 are:

Answer 1

Step-by-step explanation:

hopefully you got your answer

Answer 2

∠3 = 108°

∠4 = 72°

Given:

q || r and p is transversal

∠1 and∠2  is in ratio 3 : 2

To find:

Find the values of ∠3 and ∠4

Let the ratio be x,

∠1 = 3x

∠ 2 = 2x

Sum of all the angles on the same side of a straight line is equal to 180°

∠1 and ∠2 are the only angles on the same side of line q,

So, ∠1 + ∠2 = 180°

3x + 2x = 180

5x = 180

x = 180/5

x = 36

∠1 = 3x = 3*36 = 108°

∠2 = 2x = 2*36 = 72°

Now,  q || r and p is transversal.

Vertically opposite angles are equal so,

∠1 = ∠3

∠2 = ∠4

so, ∠3 = ∠1 = 108°

∠4 = ∠2 = 72°

∠3 = 108°

∠4 = 72°

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