Answer:
m<JKL = 38.1
Explanation:
We are given 2 angles, <DFG and <JKL, which are complementary angles, also that m<DFG = x+8.0 and m<JKL = x-5.8
Complementary angles are angles that add up to 90.
This means that m<DFG plus m<JKL is equal to 90.
As an equation, that would be:
m<DFG + m<JKL = 90
We can substitute m<DFG and m<JKL with their measures.
x + 8.0 + x - 5.8 = 90
Combine the x's.
2x + 8.0 - 5.8 = 90
Subtract 5.8 from 8.0.
2x + 2.2 = 90
Subtract 2.2 from both sides
2x = 87.8
Divide both sides by 2.
x = 43.9
We found the value of x, but we aren't done yet. The question wants us to find the measure of <JKL.
Remember that m<JKL=x-5.8
So, replace 43.9 as x and subtract 5.8 from it.
m<JKL = x-5.8 = 43.9 - 5.8 = 38.1