Question

3. Use the diagram to answer the following questions.

a. Using parallel line relationships, find the value of x. Use the relationship between the two marked angles to set up your equation.
Show your work to support your answer.






b. Find the measure of each of the angles. Don’t forget to label your answer. (6 pts)
a = d =

b = e =

c = f =

Answer 1

x = 5

and f = 14

B,C d and e are all 166 ( 180-14)

Explanation:

4x - 6 and x + 9 are alternate interior angles which have the same measurement. Set them to equal and solve for x

4x - 6 = x + 9 Add 6 to both sides

4x = x + 15 Subtract x from both sides

3x = 15 Divide both sides by 3

x = 5

So the two angles have a measurement of 14

x + 9

5 + 9 = 14

4x - 6

4(5) - 6

20 - 6 = 14