1.

1). 140∘2). 152∘3). 156∘4). 166∘

Answer»

ATQ, Angles of the quadrilateral are 3x, 5X, 12x and 10X respectively

SUM of the angle of the quadrilateral is 360°

⇒ 3x + 5x + 12x + 10x = 360

⇒ 30x = 360

⇒ x = 12

⇒ Largest angle = 12x = 12 × 12 = 144°

SMALLEST angle = 3x = 12 × 3 = 36°

⇒ Thrice the smallest angle = 36 × 3 = 108°

⇒ One third of the largest angle = 144/3 = 48°

∴ Required sum = 108 + 48 = 156°



Discussion

No Comment Found