Question

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. (4 pts)
x =
b. Find the measure of each of the angles. Don’t forget to label your answers.

Answer 1

a and f are 14°

Angles b, c, d, and e are all 166°

Explanation:

Alternate interior angles are congruent

x + 9 = 4x - 6 Subtract x from both sides

9 = 3x - 6 Add 6 to both sides

15 = 3x Divide both sides by 3

5 = x

Plug this back into the equation for find the angles measurements

x + 9

5 + 9

14

or

4x _ 6

4(5) -6

20 - 6

14

angles a and f are vertical angles so they are congruent and equal to 14

B ,c , d and e are all supplements to the found angles

180-14 = 166