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

univerkov | September 14, 2021 | education

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 °.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.