Two angles form a linear pair. The measure of one angle is 8 times the measure of the other angle. Find the measure of each angle.
angle 1= x
angle 2=8x
so 8x+x=180
9x=180
9x= 180 divided by 9 is 20 so
x=20
angle 1=20
angle 2=160
Hope it helps :)
this is just like the last one, but the angles sum to 180, instead of 90.
Take a stab at it and come on back if you have trouble.
Well, if these angles form a linear pair, that means they are adjacent and add up to 180 degrees. Let's call one angle x. According to the problem, the other angle would be 8x. So, we can set up the equation: x + 8x = 180. Simplifying that equation gives us 9x = 180. To solve for x, we can divide both sides by 9, which gives us x = 20. So, one angle is 20 degrees and the other angle, which is 8 times the measure of the first angle, would be 8 times that, which is 160 degrees.
To find the measure of each angle, let's denote one angle as x and the other angle as y.
We know that the two angles form a linear pair, which means they are adjacent angles that add up to 180 degrees.
So, we can write the equation: x + y = 180 degrees.
We are also given that "the measure of one angle is 8 times the measure of the other angle." In other words, x = 8y.
Now we can substitute x = 8y into the first equation to solve for y:
8y + y = 180
9y = 180
y = 180/9
y = 20
Now that we have the value of y, we can substitute it back into x = 8y to find x:
x = 8(20)
x = 160
Therefore, the measure of one angle is 160 degrees, and the measure of the other angle is 20 degrees.