Question

the angles of a quadrilateral are in the ratio 2:1:3:3 . find all the angles of the quadrilateral ​

Answer 1

Step-by-step explanation:

Let the common ratio be x.

Then the four angles of the quadrilateral are 3x, 5x, 7x, 9x.

According to the angle sum property of quadrilateral,

3x + 5x + 7x + 9x = 360   

⇒ 24x = 360       

⇒ x = 360/24

⇒ x = 15°

Therefore, measure of angle A 3x = 3 × 15 = 45°

Measure of angle B = 5x = 5 × 15 = 75°

Measure of angle C = 7x = 7 × 15 = 105°

Measure of angle D = 9x = 9 × 15 = 135°

Therefore, the four angles of the quadrilateral are 45°, 75°, 105° and 135°.

Answer 2

Answer:

80, 40, 120, 120

Step-by-step explanation:

let the angles be 2x, x, 3x, 3x

sum of angles of quadrilateral =360

so, 2x+x+3x+3x=360

9x=360

x=360/9

x=40

so, 2x=2 x 40=80

x=40

3x=3 x 40=120

3x= 3 x 40 =120

so angles are 80, 40, 120 and 120

hope it helped u frnd...