Question

The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ?
A) 80 degrees
B) 60 degrees
C) 120 degrees
D) 40 degrees

Answer 1

Hii dear here is your answer

option c is the correct answer

Hope it's help u

Answer 2

Answer: B) 60 degrees ✔️✔️

Solution-:

●Given the angles of a quadrilateral are in the ratio of 2:4:7:5

●Let the angles of a quadrilateral are 2x, 4x, 7x, 5x

●But we know that sum of the angles = 360 degrees.

=> 2x + 4x + 7x + 5x = 360

=> x = 20

Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.

●One of the angle of the triangle = 2 x 40 = 80°

●The other angle is 180 - (40 + 80) = 60°.

●Hence the second largest angle of the triangle is 60 degrees.