If <D and <LE are supplementary angles, then their measures add up to 180 degrees. We can set up the equation as follows:
(4x + 8) + (x + 17) = 180
Combining like terms:
5x + 25 = 180
Subtracting 25 from both sides:
5x = 155
Dividing both sides by 5:
x = 31
Now that we know x, we can substitute it back into the equation to find the measure of <D:
mLD = (4x + 8) = (4 * 31 + 8) = 132 degrees
Since LF is a vertical angle with LD, it has the same measure. Therefore, the measure of LF is 132 degrees.
If there are two supplementary angles, <D and LE, where m LD = (4x + 8) ° and mLE = (x+ 17)°
', and LF is a vertical angle with LD, what is the measure of LF?
1 answer
1 answer