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 value of the second largest angle of the triangle?

• A. 60
• B. 80
• C. 120
• D. Cannot be determined
• E. None of these

Answer 1

The correct option is A

60

The sum of an angle of the quadrilateral = 360${}^{\circ }$

Using the ratio of angles of the quadrilateral, we get smallest angle of the quadrilateral is 40${}^{\circ }$.

So, the smallest angle of the triangle is 40${}^{\circ }$.

Remaining angles of the triangle are 60${}^{\circ }$ and 80${}^{\circ }$.

$\therefore$ second largest angle of the triangle is 60${}^{\circ }$.