Question

The angle of a quadrilateral are in the ratio 4:6:3 and it's fourth angle is 100. Find the other three angles of the quadrilateral

Answer 1

Let the angles of the quadrilateral be 4x, 6x, and 3x

Sum of the interior angles of a quadrilateral is 360°.

According to the above problem,

`4x + 6x + 3x + 100 = 360 \\ 13x = 360 - 100 \\ 13x = 260 \\ \boxed{x = 20}`

• 1st angle=4x=4×20=80°
• 2nd angle=6x=6×20=120°
• 3rd angle=3x=3×20=60°

Hence, the other three angles are 80°, 120° and 60°.

Answer 2

Explanation:

Sum of angles in a quadrilateral = 360°

Sum of first 3 angles = 360° - 100° = 260°.

260° / (4 + 6 + 3) = 20°.

First angle = (20°) * 4 = 80°

Second angle = (20°) * 6 = 120°

Third angle = (20°) * 3 = 60°

The angles are 80°, 120° and 60°.