Question

find x in the following figure​

Answer 1

Step-by-step explanation:

x+40+x+80+x+10+x+90=360

4x+220=360

4x=360-220

4x=140

x=4/140

x=35

Answer 2

Answer:

The correct value of x is 35.

Step-by-step explanation:

The figure is a quadrilateral and the angle sum property of a quadrilateral says that the sum of all of its angles is 360⁰.

The sides of this figure are x+40,x+90,x+80 and x+10 respectively

So,x+40+x+90+x+80+x+10 = 360

4x+220 = 360

4x = 360 - 220

4x = 140

x = 140/4

x = 35

So the angles are:

x+40 = 35 + 40 = 75⁰

x+90 = 35+90 = 125⁰

x+80 = 35+80 = 115⁰

x+10 = 35+10 = 45⁰