Question

If there are two supplementary angles, DNE were MD equals 4X +8 and NE equals X +17 and F is a vertical angle with D what is the measure of f

Answer 1

Since DNE are supplementary angles, their measures add up to 180 degrees.

We are given that MD = 4X + 8 and NE = X + 17.

To find the measure of angle D, we can set up the equation:

MD + NE = 180

Substituting the given values, we get:

4X + 8 + X + 17 = 180

Combining like terms:

5X + 25 = 180

Subtracting 25 from both sides:

5X = 155

Dividing by 5:

X = 31

Now that we have the value of X, we can find the measure of angle MD:

MD = 4X + 8
MD = 4(31) + 8
MD = 124 + 8
MD = 132

Since F is a vertical angle with D, the measure of angle F is also 132 degrees.