Question

two angles of a quadrilateral are 50° and 80° and other two angles are in the ratio 8:15, then find those angles.

Answer 1

Let two angles other than 50° and 80° be 8x and 5x

Now,
Sum of all angles of quadrilateral=360°
50°+80°+8x+5x= 360°
130°+13x=360°
13x=360°-130°
13x=230°
x=230/13

Other two angles=8*230/13
= 141.54(app.)
= 5*230/13
=88.46(app.)


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