Question

The angles of a quadrilateral are in the ratio 2:4:3:6. The angles of the quadrilateral are:

• A. 144°,108°,60°,48°
• B. 144°, 72°,36°, 108°
• C. 30°, 60°, 90°, 120°​
• D. 10°, 20°, 30°, 40°

Answer 1

The correct option is B

144°, 72°,36°, 108°

Let the angles of the quadrilateral will be 2x, 4x, 3x, 6x.
Sum of the angles of a quadrilateral = 360°

$\Rightarrow {360}^{\circ }=2x+4x+3x+6x$
$\Rightarrow 15x={360}^{\circ }$

$\therefore x={24}^{\circ }$
$\therefore 2x={48}^{\circ },3x={72}^{\circ },4x={96}^{\circ },6x={144}^{\circ }$