Question

the four angle of a quadrilateral are in the ratio 4:5:6:9 . Find the measure of angles​

Answer 1

Answer:

60 degrees

75 degrees

90 degrees

135 degrees

is the correct answer.

Answer 2

Answer:

Step-by-step explanation:

Given Ratio of angles :- 4:5:6:9

Let each angle of the quadrilateral be 4x,5x,6x,9x

Sum of all the angles of a quadrilateral =360∘

 ∴ 4x+5x+6x+9x=360∘

 

⇒ 24x = 360∘

 

⇒ x =  360 /24

​  

⇒ x = 15∘

 

∴ required angles are 4×15∘ ,5×15∘ ,6×15∘ ,9×15∘

=60∘ ,75∘ ,90∘ ,135∘

Respectively.