Question

in a quadrilateral triangle are in ratio of 3:3:1 ad one of the angle is 80° the other angles are?​

Answer 1

Step-by-step explanation:

In figure ABCD is a quadrilateral.

⇒  We have given ratio of three angle 3 : 3 : 1.

⇒  Let ∠A=3x,∠B=3x,∠C=x and 

∠D=80∘

⇒  ∠A+∠B+∠C+∠D=360∘    --- 

[Sum of all interior angles of quadrilateral is 360∘]

⇒  3x+3x+x+80∘=360∘

⇒  7x=280∘     

∴    x=40∘        ---- ( 1 )

⇒   ∠A=3x=3×40∘=120∘   -- ( 2 )

⇒   ∠B=3x=3×40∘=120∘    -- ( 3 )

From ( 1 ), ( 2 ) and ( 3 )

⇒  Other angles are 120∘,120∘,40∘