Question

2. The angles of a quadrilateral are in the ratio 3:4:5:6. The smallest of
these angles is
(a) 45° (b) 60° (c) 36° (d) 48°
​

Answer 1

Step-by-step explanation:

The angles of a quadrilateral are in the ratio 2: 4 : 5 : 7. Find the angles.

ANSWER:

Let ∠A = 2x∘.

Then ∠B = (4x)∘; ∠C = (5x)∘ and ∠D = (7x)∘

Since the sum of the angles of a quadrilateral is 360o, we have:

2x + 4x + 5x + 7x = 360∘

⇒ 18 x = 360∘

⇒ x = 20∘

∴ ∠A = 40∘; ∠B = 80∘; ∠C = 100∘; ∠D = 140∘

Answer 2

Answer:

the sum of all the interior angles of a quadrilateral is 360° .

let the angle be x , so that

3x+4x+5x+6x = 360°

18x = 360°

x= 360/18 = 20°

3x = 20° which is the smallest angle

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