1.

1). 32°2). 76°3). 25°4). 78°

Answer»

The SUM of all the interior angles of a triangle is 180°

⇒ ∠A + ∠B + ∠C = 180°

⇒ x + 4x – 4 + y = 180

5X + y = 184- - - (1)

Also,

∠C - ∠B = 8°

⇒ y – (4x - 4) = 8

⇒ - 4x + y = 4- - - (2)

On SOLVING equations (1) and (2) simultaneously, we get,

 x = 20° and y = 84 °

∴ ∠B = (4 × 20) – 4 = 76°



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