Question

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Answer 1

Answer:

x = 14, y = 37

Step-by-step explanation:

The angle vertical to (9x + 12 )° and 3x are same- side interior angles and are supplementary, sum to 180°, then

9x + 12 + 3x = 180

12x + 12 = 180 ( subtract 12 from both sides )

12x = 168 ( divide both sides by 12 )

x = 14, so

3x = 3 × 14 = 42

3x and 4y - 10 are adjacent angles and supplementary, then

3x + 4y - 10 = 180

42 + 4y - 10 = 180

4y + 32 = 180 ( subtract 32 from both sides )

4y = 148 ( divide both sides by 4 )

y = 37