Since D and E are supplementary angles, we know that their measures must add up to 180 degrees. So, we can set up the following equation:
(4x + 8) + (x + 17) = 180
Combine like terms:
5x + 25 = 180
Subtract 25 from both sides:
5x = 155
Divide by 5:
x = 31
Now, we can plug x back into the equation for the measure of angle E:
m E = x + 17
m E = 31 + 17
m E = 48
Therefore, the measure of angle E is 48 degrees.
Since vertical angles are congruent, the measure of angle F is also 48 degrees.
If there are two supplementary angles, D and E, where m D=(4x+8) and m E=(x+17), and F is a vertical angle with D, what is the measure of F?
1 answer