Question

the angle of a quadrilateral are in the ratio 3:4:5:6 find the measure of each of its angle​

Answer 1

Answer:

(1)3×20

60

(2) 4×20

80

(3) 5×20

100

(4) 6×20

120

Step-by-step explanation:

sum of angles in quardilateral =360

3x+4x+5x+6x=360

18x=360

x=20

Answer 2

✪Question:-

➠The angle of a quadrilateral are in the ratio 3:4:5:6, find the measure of each of its angle.

⠀

✪Solution:-

⠀

• Let the ratio be x .

⠀

Then, the four angles are = 3x, 4x, 5x and 6x.

⠀⠀ A.T.Q

$\boxed{Angle\: sum\: property\: of\: a\: quadrilateral}$

➠ 3x + 4x + 5x + 6x = 360°

➠ 18x = 360°

➠ x = $\frac{360}{18}$

➠ x = 20°

⠀

Now, measures of each angles are:-

★ 3x = 3 × 20

⠀⠀ ⠀= 60°

★ 4x = 4 × 20

⠀ ⠀⠀= 80°

★ 5x = 5 × 20

⠀⠀⠀ = 100°

★ 6x = 6 × 20

⠀⠀⠀ = 120°

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