Question

5) The least angle of a quadrilateral whose angles are in the ratio 1:1:2:2 is ______˚ *

Answer 1

Answer:

least angle is 60°

sum of angles of a quadrilateral is 360°

now add the ratio given

i.e 1+1+2+2 = 6

now divide 360 by 6 the answer is 60

60×1= 60

60×2 =120

as the ratio says 60+60+120+120=360

so the answer is 60°

Answer 2

Answer: The least angle = 60°

Step-by-step explanation:

Let the angles be 1x, 1x, 2x, 2x

Sum of Interior angles of Quadrilateral = 360°

⇒x + x + 2x+ 2x = 360°

⇒6x = 360°

⇒x = 360°/6 = 60°

∴The angles are 60°, 60°, 120° , 120°

⇒The least angle = 60°

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