The ratio of two angles is 3:1 find the larger angle if the smaller is 180
3:1 = 540:180
To find the larger angle, we need to know the ratio of the two angles. Given that the ratio is 3:1, we can set up the following equation:
x/y = 3/1
Now, let's substitute the given value that the smaller angle (y) is 180 degrees into the equation:
x/180 = 3/1
To solve for x, we can cross-multiply:
x = 180 * 3
x = 540
Therefore, the larger angle (x) is 540 degrees.
To find the larger angle, we need to determine the value of each part of the ratio.
Given that the ratio of the two angles is 3:1, we can assign variables to the angles as follows:
Let the smaller angle be x.
Let the larger angle be 3x.
From the information provided, we know that the smaller angle is 180 degrees. Therefore, we can substitute x with 180 in the equation:
x = 180.
Now let's substitute x in the equation for the larger angle:
3x = 3 * (180) = 540.
Therefore, the larger angle is 540 degrees.