Question

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

Answer 1

Answer:

60 degree

Step-by-step explanation:

let the ratio of the angles of the quadrilateral be x: x: 2x: 2x

now

sum of angles of quadrilateral is 360 degree

so

x+x+2x+2x=360

6x=360

x=360/6

x=60

so..

the angles of the quadrilateral are 60 degree, 60 degree, 120 degree and 120 degree respectively..

hence the the least angle is 60 degree..

Answer 2

Answer:

60˚

Step-by-step explanation:

sum of angles in a quadrilateral is 360˚

there are 2 pairs of equal angles

the least is the one with ratio 1

1 + 1 + 2 + 2 = 6

1/6 =  x/360

360× 1 = 6 × x

360 × 1 / 6 = x

∴x = 60˚

hope this helps you

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