1) We know that two adjacent angles relate to each other as 5: 4, and the sum of adjacent angles is 180 °. If we introduce the proportionality coefficient – x into the ratio, then the equation can be drawn up 5x + 4x = 180 °. Using it, we find the angle AOB = 100 °.
2) Since the ray MO is the bisector of the angle AOB (it divides the angle in half), then we only need to divide the found angle AOB = 100 ° in half and get the desired angle of the MB.
Answer: 50 °.
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.