10. Two angles are supplementary with measures m∠JFK = 2n" and mLKFL = (3n+30)". What is the measure of JFK?
According to the given information, we know that the sum of the measures of two supplementary angles is 180 degrees.
So, we can write the equation:
m∠JFK + mLKFL = 180
Substituting the given angle measures, we get:
2n + (3n + 30) = 180
Combining like terms:
5n + 30 = 180
Subtracting 30 from both sides:
5n = 150
Dividing both sides by 5:
n = 30
Now, we can substitute the value of n back into the expression for m∠JFK:
m∠JFK = 2n
= 2(30)
= 60
Therefore, the measure of angle JFK is 60 degrees.