Question

please tell me correct answer of this question
those who give wrong answer their close family member will get heart attack ​

Answer 1

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$Let ∠1 = 3x and ∠2 = 2x From figure: ∠1 and ∠2 are linear pair of angles  Therefore, ∠1 + ∠2 = 180° 3x + 2x = 180° 5x = 180° x = 180/5  => x = 36°  So, ∠1 = 3x = 108° and ∠2 = 2x = 72°  As we know, vertically opposite angles are equal.  Pairs of vertically opposite angles are:  (∠1 = ∠3); (∠2 = ∠4) ; (∠5, ∠7) and (∠6 , ∠8)  ∠1 = ∠3 = 108°  ∠2 = ∠4 = 72°  ∠5 = ∠7  ∠6 = ∠8  We also know, if a transversal intersects any parallel lines, then the corresponding angles are equal  ∠1 = ∠5 = ∠7 = 108°  ∠2 = ∠6 = ∠8 = 72°  Answer: ∠1 = 108°, ∠2 = 72°, ∠3 = 108°, ∠4 = 72°, ∠5 = 108°, ∠6 = 72°, ∠7 = 108° and ∠8 = 72°.Read more on Sarthaks.com - https://www.sarthaks.com/608691/in-figure-ab-cd-and-1-and-2-are-in-the-ratio-3-2-determine-all-angles-from-1-to-8$

Answer 2

$\Large\mathtt\green{ }\huge\underline\mathtt\red{Answer : }$

As per diagram AB∣∣CD

and we know that sum of angles in a straight line is 180o

let the unknown angle be x

∠1:∠2=3x:2x

∠1+∠2=180o

3x+2x=180o

5x=180o

x=36o

=> ∠1=3×36o=108o

=> ∠2=2×36o=72o

We know that vertically opposite angles are equal.

∠1=∠3=108o

∠2=∠4=71o

We know that corresponding angles are equal.

∠1=∠5=108o

∠2=∠6=71o

∠4=∠8=71o

∠3=∠7=108o

∴  ∠1=∠5=∠3=∠7=108o and

∴  ∠1=∠5=∠3=∠7=108o and∠2=∠6=∠4=∠8=71o.

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