Question

If angles of a quadrilateral are x, x + 3, and
x + 9, then find the value of x. Also, find all the
angles.​

Answer 1

Step-by-step explanation:

Given that angles in the quadrilateral are x

∘

,(x+10)

∘

,(x+20)

∘

,(x+30)

∘

Sum of all the angles of a quadrilateral =360

∘

∴x

∘

+(x+10)

∘

+(x+20)

∘

+(x+30)

∘

=360

∘

⇒4x+60

∘

=360

∘

⇒4x=300

∘

⇒x=

4

300

=75

∘

∴ each angle is as follows

x

∘

=75

∘

,(x+10)

∘

=85

∘

,(x+20)

∘

=95

∘

,(x+30)

∘

=105

∘

Answer 2

Step-by-step explanation:

Given that angles in the quadrilateral are x

∘

,(x+10)

∘

,(x+20)

∘

,(x+30)

∘

Sum of all the angles of a quadrilateral =360

∘

∴x

∘

+(x+10)

∘

+(x+20)

∘

+(x+30)

∘

=360

∘

⇒4x+60

∘

=360

∘

⇒4x=300

∘

⇒x=

4

300

=75

∘

∴ each angle is as follows

x

∘

=75

∘

,(x+10)

∘

=85

∘

,(x+20)

∘

=95

∘

,(x+30)

∘

=105

∘