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1). 140∘2). 152∘3). 156∘4). 166∘ |
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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° |
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