Answer:
- x = 9
- x = 9
Explanation:
1. The two marked angles are supplementary, so their sum is 180°.
... (15 +5x) + (14x -6) = 180
... 19x + 9 = 180 . . . . . . collect terms
... 19x = 171 . . . . . . . . . . subtract 9
... x = 9 . . . . . . . . . . . . . divide by 19
2. The two marked angles are corresponding angles, so are congruent.
... 13x -7 = 11x +11
... 2x -7 = 11 . . . . . . . subtract 11x
... 2x = 18 . . . . . . . . add 7
... x = 9 . . . . . . . . . . divide by 2
