the angle of a quadrilateral are in the ratio 4:5:3:8. find the measure of each angle
let the angles be
4x , 5x, 3x , and 8x
you know their sum is 360°
so 4x+5x+3x+8x= 360
take it from there
Julia studied math 3 1/3 hours during the 4 days before her last test. what was the average amount of time she studied each day?
To find the measure of each angle in a quadrilateral, you need to know the sum of all the angles in a quadrilateral. The sum of the angles in any quadrilateral is always equal to 360 degrees.
In this case, let's assume that the ratio of the angles in the quadrilateral is 4x:5x:3x:8x.
To find the value of x, we need to sum up the ratios:
4x + 5x + 3x + 8x = 360
Combine like terms:
20x = 360
Solve for x by dividing both sides of the equation by 20:
20x/20 = 360/20
x = 18
Now that we know the value of x, we can find the measure of each angle by substituting x back into the ratios:
Angle 1 = 4x = 4 * 18 = 72 degrees
Angle 2 = 5x = 5 * 18 = 90 degrees
Angle 3 = 3x = 3 * 18 = 54 degrees
Angle 4 = 8x = 8 * 18 = 144 degrees
Therefore, the measure of each angle in the quadrilateral is:
Angle 1 = 72 degrees
Angle 2 = 90 degrees
Angle 3 = 54 degrees
Angle 4 = 144 degrees