If there are two supplementary angles, angle, D and angle E where an angle D equals 4X +8° and M angle E equals X +17° and angle is a vertical angle with angle D what is the measure of angle F would it be 31°, 124°, 132° or 48°

Answer 1

To find the measure of angle F, we need to find the value of angle E first. Since angle D and angle E are supplementary angles (meaning they add up to 180 degrees), we can set up the equation:

angle D + angle E = 180

(4X + 8) + (X + 17) = 180

5X + 25 = 180

Subtract 25 from both sides:

5X = 155

Divide by 5:

X = 31

Now that we know X = 31, we can substitute this value into the expression for angle E:

angle E = X + 17
angle E = 31 + 17
angle E = 48

Since angle F is a vertical angle with angle D, angle F will also measure 4X + 8. Plugging in X = 31:

angle F = 4X + 8
angle F = 4(31) + 8
angle F = 124 + 8
angle F = 132

Therefore, the measure of angle F is 132 degrees.