Question

if four angles of quadrilateral are in the ratio of 3:8:10:3 find the measure of angle​

Answer 1

Answer:

3x+3x+8x+10x=360                            (angle sum property of a quadrilateral)

24x=360

x=15

Therefore the angles are

45,45,120,150

Answer 2

The four angles of quadrilateral are '45  °, 120  °, 150  ° and 45  °'.

Step-by-step explanation:

Let the four angles of quadrilateral = 3x, 8x, 10x and 3x

To find, the measure of angle​s of quadrilateral = ?

We know that,

The sum of all angles of quadrilateral = 360°

∴ 3x + 8x + 10x + 3x = 360°                    

⇒ 24x = 360 °

⇒ x = $\dfrac{360}{24}$

⇒ x = 15  °

∴ 3x = 3 × 15  ° = 45  °, 8x = 8 × 15  ° = 120  °, 10x = 10 × 15  ° = 150  ° and

3x = 3 × 15  ° = 45  °

Thus, the four angles of quadrilateral are 45  °, 120  °, 150  ° and 45  °.