The measures of the angles of the quadrilateral are in the ratio 2:4:6:8. Find the measure of each angle.
There's probably a better way to solve this problem, but here's my solution.
2 + 4 + 6 + 8 = 20
360/20 = 18
2x + 4x + 6x + 8x = 360
20x = 360
x = 18
Go back and substitute 18 for x in the equation.
plssss giv me the answer completely...
There's probably a better way to solve this problem, but here's my solution.
2 + 4 + 6 + 8 = 20
360/20 = 18
2x + 4x + 6x + 8x = 360
20x = 360
x = 18
Go back and substitute 18 for x in the equation.
hmm is this correct or not
To find the measure of each angle in the quadrilateral, we need to understand that the sum of the angles in any quadrilateral is always 360 degrees.
Let's assign variables to the measures of the angles in the ratio. Let's say the measures are 2x, 4x, 6x, and 8x.
Now, we can form an equation using the sum of the angles in the quadrilateral:
2x + 4x + 6x + 8x = 360
Combine like terms:
20x = 360
Divide both sides of the equation by 20 to solve for x:
x = 360 / 20
x = 18
Now, substitute the value of x back into the angle measures:
Angle1: 2x = 2 * 18 = 36 degrees
Angle2: 4x = 4 * 18 = 72 degrees
Angle3: 6x = 6 * 18 = 108 degrees
Angle4: 8x = 8 * 18 = 144 degrees
Thus, the measures of the angles in the quadrilateral are 36 degrees, 72 degrees, 108 degrees, and 144 degrees.