Answer:
see below
Step-by-step explanation:
5. 9x + 2 = 119° alternate interior angles are congruent
9x = 117
x = 13°
6. 12x - 8 + 104° = 180° same side interior angles are supplementary
12x + 96 = 180
12x = 84
x = 7°
7. 5x + 7 = 8x - 71 alternate exterior angles are congruent
-3x = -78
x = 26°
8. 4x - 7 = 7x - 61 corresponding angles are congruent
-3x = -54
x = 18°
9. 9x + 25 = 13x - 19 corresponding angles are congruent
-4x = -44
x = 11°
13x - 19 + 17y + 5 = 180° straight line adds up to 180°
13(11) - 19 + 17y + 5 = 180
143 - 19 + 17y + 5 = 180
17y + 129 = 180
17y = 51
y = 3°
10. 6x - 7 + 3x - 29 = 180° same side interior angles are supplementary
9x - 36 = 180
9x = 216
x = 24°
6x - 7 = 8y + 17 vertical angles are congruent
6(24) - 7 = 8y + 17
144 - 7 = 8y + 17
137 = 8y + 17
120 = 8y
y = 15°
11. 49 + 3x = 7x - 23 corresponding angles are congruent
-4x = -72
x = 18°
3x = 11y - 1 corresponding angles are congruent
3(18) = 11y - 1
54 = 11y - 1
55 = 11y
y = 5°
12. 5x - 38 = 3x - 4 alternate interior angles are congruent
2x = 34
x = 17°
7y - 20 + 5x - 38 + 90 = 180° sum of triangle interior angle equals 180
7y - 20 + 5(17) - 38 + 90 = 180°
7y - 20 + 85 - 38 + 90 = 180°
7y + 117 = 180
7y = 63
y = 9°
