Question

if angle of quadrilateral are (x-15)degree , x degree , (x+20)degree and (2x+5)degree , then find greatest angle of quadrilateral​

Answer 1

Answer:

Given: The angles of quadrilateral are

x,x+

20,2x+

45,x+

15

By angle sum property, the sum of all the angles of a quadrilateral is

360

∘

x+ (x+ 20

∘

)+ (2x+ 45

∘

)+ (x+ 15

∘

)= 360

∘

⟹ 5x+

80

∘

=

360

∘

⟹

5x=

360

∘

−

80

∘

⟹

5x=

280

∘

⟹

x=

56

∘