Find the measure of the indicated exterior angle.
Exterior angle is: 197-5n
Two interior angles are: 5n+21 and n+11
I set it up as:
197-5n=5n+21+n+11
197-5n=6n+32
165=11n
but this does not make sense.
165 = 11 n makes sense if n = 15
Where are your angles being measured? Why should the sum of two interior angles equal an exterior angle?
how do you set the problem up wrong
X=8skay
It seems like there is a mistake in the equation you have set up. Let's correct it and solve for the value of n.
To find the measure of the indicated exterior angle, we need to set it equal to the sum of the two interior angles. So, the equation should be:
197 - 5n = 5n + 21 + n + 11
Now, let's simplify the equation:
197 - 5n = 6n + 32
Next, we can move all the terms with n to one side of the equation:
197 - 32 = 6n + 5n
Simplifying further:
165 = 11n
Now, to find the value of n, we can divide both sides of the equation by 11:
165/11 = 11n/11
15 = n
So, the value of n is 15. Now, to find the measure of the indicated exterior angle, we can substitute the value of n back into the equation:
Exterior angle = 197 - 5n
Exterior angle = 197 - 5(15)
Exterior angle = 197 - 75
Exterior angle = 122
Therefore, the measure of the indicated exterior angle is 122.