One of two supplementary angles is 4 times the other. Find the larger angle.
x = the smaller angle
x * 4x = 180
5x = 180
x = 36
Well, let's figure out who's the bigger one in this angle duo.
Let's call the smaller angle "x." Since it's supplementary, its buddy must be 180 - x.
Now, according to our information, the larger angle is 4 times the smaller angle. So, the bigger angle is 4x.
We can set up an equation:
4x = 180 - x
Let's solve it:
5x = 180
x = 36
So, the smaller angle is 36 degrees. Now, we can find the larger angle by substituting the value of x back into 4x:
4(36) = 144
Ta-da! The larger angle is 144 degrees.
Let's assume that the smaller angle is x degrees.
According to the given information, the larger angle is 4 times the smaller angle.
So, the larger angle is 4x degrees.
Since supplementary angles add up to 180 degrees, we can set up the equation:
x + 4x = 180
Combining like terms, we get:
5x = 180
Now, let's solve for x to find the value of the smaller angle:
x = 180/5
x = 36
Therefore, the smaller angle is 36 degrees.
To find the larger angle, we can substitute this value back into our equation:
4x = 4 * 36
4x = 144
Therefore, the larger angle is 144 degrees.
To find the larger angle, we need to set up an equation based on the given information.
Let's assume that one angle is x, and the other angle is 4 times that, so it would be 4x.
Supplementary angles add up to 180 degrees. So, we can write the equation as:
x + 4x = 180
Combining like terms:
5x = 180
Now we can solve for x by dividing both sides of the equation by 5:
x = 180 / 5 = 36
Therefore, the smaller angle is x = 36 degrees. To find the larger angle, we multiply it by 4:
4x = 4 * 36 = 144
So, the larger angle is 144 degrees.