Question

smallest angle of a triangle is half of the smallest angle of a quadrilateral. The ratio of the
noles of the quadrilateral is 2 : 3:4 6. Largest angle of the triangle is twice the smalle
angle of the quadrilateral. What is the sum of second largest angle of the triangle
largest angle of the quadrilateral?​

Answer 1

let angles of triangle be a,b,c a>b>c

let angles of quadrilateral be p,q,r,s p>q>r>s

ratio ofangles of quadrilateral 2:3:4:6

As sum of angles= 360

So angles become 2×360/15 = 48, 3× 24= 72, 4× 24= 96 , 6× 24= 144

smallest angle of triangle = 1/2 × 48= 24

largest= 2× 48= 96

Second largest = 180-(24+96)= 180 - 120= 60

If Question is Sum of Second largest of traingle and second largest of quad.then

= 60+ 96 = 156.

If Question is of largest angle of quad.

= 60+144 = 204