This problem involves understanding the rate of work. Since 5 painters can paint 5 rooms in 5 days, one painter can paint one room in the same amount of time. This is because the work is directly proportional to the number of workers and the time taken. Therefore, 10 painters can also paint 10 rooms in 5 days, as the number of painters and rooms has increased proportionally, keeping the rate of work (rooms per painter per day) constant. These questions are designed to enhance understanding of mathematical problem-solving techniques, including breaking down complex problems, applying mathematical concepts, and using logical reasoning in problem-solving scenarios.
To solve this, use the fact that the sum of the angles in a triangle is always 180°. If two of the angles are 65° and 45°, then the third angle can be found by subtracting the sum of these two angles from 180°: 180° - (65° + 45°) = 180° - 110° = 70°. So, the measure of the third angle is 70°. This is because the sum
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