Question

Solve this question​

Answer 1

Answer:

In a line, sum of angles is 180°.

⇒ ∠4 + ∠3 = 180°

Let ∠4 be 2x and ∠3 be 3x.

$=>2x+3x=180\\=>5x=180\\=>x=\frac{180}{5} =36$

∴ ∠4 = 2x = 2 × 36 = 72°

∠3 = 3x = 3 × 36 = 108°

∠1 = ∠3 = 108°  (Vertically Opposite Angles)

∠2 = ∠4 = 72°   (Vertically Opposite Angles)

∠5 = ∠3 = 108°  (Interior Opposite Angles)

∠6 = ∠4 = 72°    (Interior Opposite Angles)

∠7 = ∠3 = 108°  (Corresponding Angles)

∠8 = ∠4 = 72°    (Corresponding Angles)

Thanks!!