If there are two supplement angle, NDNE were D equals 4X plus 8 NE equals X +17 in F is vertical with the what is the measure of F
To find the measure of angle F, we first need to find the value of X.
Since angle NDNE is a supplementary angle, the sum of its measures is 180 degrees. Therefore,
D + NE = 180
Substituting the given values:
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 have the value of X, we can find the measure of angle F.
Since angle F is vertical to angle NE, they have the same measure. Therefore,
F = NE
Substituting the given value:
F = X + 17
Substituting the calculated value of X:
F = 31 + 17
F = 48
Therefore, the measure of angle F is 48 degrees.