If there are two supplementary angles, LD and LE, where m/D = (4x + 8) ° and m LE = (x + 17)°, and LF is a vertical angle with LD, what is the measure of LF?
Since LD and LE are supplementary angles, their measures add up to 180 degrees. So we have:
m/D + m/LE = (4x + 8) + (x + 17) = 5x + 25
Since LF is a vertical angle with LD, it will have the same measure as LD. So the measure of LF is:
LF = m/D = (4x + 8) °.