If there are two supplementary angles, <D and LE, where mD = (4x + 8) ° and mLE = (x + 17) •
, and LF is a vertical angle with LD, what is the measure of LF?
Item 1
Item 2
Item 3
COURSE TOOLS
(1 point)
Item 4
O 48°
Item 5
• 124°
О 31°
O 132°
124°
Since LD and LE are supplementary angles, we have:
mD + mLE = 180
(4x + 8) + (x + 17) = 180
5x + 25 = 180
5x = 155
x = 31
So, mD = 4(31) + 8 = 132° and mLE = 31 + 17 = 48°
Since LF is a vertical angle with LD, the measure of LF is the same as LD, which is 132°.