Mathematics, 08.12.2020 14:00 Ecosey123

If L is parallel to M, find the value of each variable(s)

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Answer from: ginalopez567

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°

Answer from: Quest

step-by-step explanation:

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Answer from: Quest

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If L is parallel to M, find the value of each variable(s)
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