Question

The angles of the quadrilateral are in the ratio 1:2:3:4. Find each angle

Answer 1

Let the angles of quadrilateral be
x, 2x, 3x , 4x

sum of all angles of quadrilateral = 360°
x + 2x + 3x + 4x = 360°

10x = 360°

x = 360/10 = 36°

Ans. the four angles are :-
x = 36°
2x = 2 × 36 = 72°
3x = 3 × 36 = 108°
4x = 4 × 36 = 144°

Answer 2

Hola Mate!!

Your answer :-

$let \: the \: common \: ratio = x \\ \\ sum \: of \: angles \: of \: a \: quadilateral = 360 \\ \\ = > 1x + 2x + 3x + 4x = 360 \\ \\ = > 10x = 360 \\ \\ = > x = \frac{360}{10} \\ \\ = > x = 36 \\ \\ first \: angle = 1x = 1 \times 36 = 36 \\ \\ second \: angle = 2x = 2 \times 36 = 72 \\ \\ third \: angle = 3x = 3 \times 36 = 108 \\ \\ fourth \: angle = 4x = 4 \times 36 = 144$

Hope it helps!!

☆ Brainly Star ☆