Question

16) The angles of a quadrilateral
are in the ratio 3:6:8:3. The
largest angle is ........
*​

Answer 1

Answer:

156°.

Step-by-step explanation:

Given ratio of angles of quadrilateral ABCD is 3:6:8:13

Let the angles of quadrilateral ABCD be 3x,6x,8x,13x respectively.

⇒3x+6x+8x+13x=360°[ Sum of all angles of a quadrilateral is 360° ]

∴x=12°

∴∠A=3×12   =36°            ∠C=8×12  =96°  

⇒∠B=6×12  =72°           ∠D=13×12  =156°

∴ The largest angle =156°

Hence, the answer is 156°.