If the angles of a quadrilateral are x,x+10,x+20 and x+30 degrees find the value of each
all 4 angles have to add up to 360°, so
x + x+10 + x+20 + x+30 = 360
solve for x, then sub into the angle expressions
TFS eh h
x=75. so x+10=75+10=85,x+20=75+20=95,x+30=75+30=105. 75+85+95+105=360*
To find the value of each angle in the quadrilateral, we can set up an equation based on the fact that the sum of the angles in any quadrilateral is 360 degrees.
Let's set up the equation:
x + (x+10) + (x+20) + (x+30) = 360
Now, let's simplify the equation:
4x + 60 = 360
Next, we need to solve for x. Let's isolate x by subtracting 60 from both sides of the equation:
4x = 360 - 60
4x = 300
Now, divide both sides of the equation by 4 to find the value of x:
x = 300 / 4
x = 75
So, the value of each angle in the quadrilateral is as follows:
First angle: x = 75 degrees
Second angle: x + 10 = 75 + 10 = 85 degrees
Third angle: x + 20 = 75 + 20 = 95 degrees
Fourth angle: x + 30 = 75 + 30 = 105 degrees