Question

Please Help Me. Urgent!!!!!!!​

Answer 1

Answer:

∠1 = ∠3 = 108° and, ∠2 = ∠4 = 72°

Step-by-step explanation:

Given: ∠1:∠2 = 3:2

Let ∠1 = 3x and ∠2 = 2x.

w.k.t., sum of angles of a straight line = 180°.

⇒ ∠1 + ∠2 = 180°

or 3x+2x = 180°

or 5x = 180°

or x = 180°/5 = 36°

⇒ ∠1 = 3×36° = 108° and ∠2 = 2×36° = 72°

w.k.t., vertically opposite angles are equal.

⇒ ∠1 = ∠3 = 108°

And, ∠2 = ∠4 = 72°

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