THE SUM OF 4 OF THE ANGLE OF A HEPTAGON IS 600 THE OTHER 3 ANGLES ARE OF SIZE 4X,5X AND 6X. FIND THE VALUE OF X HENCE THE VALUEOF 3 ANGLES
the mathhelper was right.thanks i love math
The sum of all 7 angles of a heptagon is 180(7-2) or 900°
so we have:
600 + 4x + 5x + 6x = 900
15x = 300
x = 20
so the 3 angles mentioned are 80°, 100°, and 120°
I have no idea what you mean. Please check for typos.
the sum of the 7 angles is 5*180 = 900
so now you know that
600 + 4x+5x+6x = 900
Now finish it off
To find the value of x and the three angles, we can use the fact that the sum of the angles of a heptagon is always 900 degrees.
Let's start by using the given information:
The sum of 4 of the angles of the heptagon is 600 degrees. This means that the sum of the remaining three angles is 900 - 600 = 300 degrees.
We are also given that the sizes of the three angles are in terms of x:
Angle 1 = 4x
Angle 2 = 5x
Angle 3 = 6x
Now, let's set up an equation to solve for x:
4x + 5x + 6x = 300
Combine like terms:
15x = 300
Divide both sides by 15:
x = 300/15
x = 20
Now that we know the value of x is 20, we can find the three angles:
Angle 1 = 4x = 4 * 20 = 80 degrees
Angle 2 = 5x = 5 * 20 = 100 degrees
Angle 3 = 6x = 6 * 20 = 120 degrees
So the value of x is 20, and the three angles are 80 degrees, 100 degrees, and 120 degrees.