Find the adjacent angles YOX and MOY if the angles MOY: YOX = 7: 2

1. By the condition of the problem ∠ MOY: ∠YOX = 7: 2. Therefore, ∠YOX = 2∠ MOY / 7.

2. The total value of two adjacent angles, according to their properties, is 180 °:

∠ MOY + ∠YOX = 180 °. Replace ∠YOX in this expression with 2∠ MOY / 7.

∠MOY + 2∠ MOY / 7 = 180 °.

9∠MOY / 7 = 180 °.

∠MOY = 140 °.

∠YOX = 2∠ MOY / 7 = 2 x 140: 7 = 40 °.

Answer: ∠MOY = 140 °. ∠YOX = 40 °.




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