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If m || n, mz1 = (8x + 7)°, and mz2 = (9x - 2)°, what is m<3?

If m || n, mz1 = (8x + 7)°, and mz2 = (9x - 2)°, what is m<3?-example-1
User Narendra Rabari
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1 Answer

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20 votes

Answer:

101

Explanation:

Angles 1 and 2 are alternate interior angles which mean they are equal. Set them equal to each other and solve for x

8x + 7 = 9x -2 Subtract 8x from both sides

7 = x -2 Add 2 to both sides

9 = x

Plug this back into either equation to find the angle measurement

8(9) + 7

72 + 7

79

Angles 2 and 3 are supplemental. They add to 180

180 - 79 = 101

User Mat Mannion
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