Subjects geometry

Angle Directions Dfe04D

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1. The problem is to accurately draw angles with given directions such as 20°, S 70° W, 160°, S 20° W, N 70° W, 340°, 110°, 270°, 180°, and N 70° E. 2. To draw these angles, we use the compass directions and degrees measured from the north or south line, moving east or west accordingly. 3. For example, "S 70° W" means start facing south (180°) and rotate 70° towards the west (left), so the angle from north is $180° + 70° = 250°$. 4. Similarly, "N 70° W" means start facing north (0°) and rotate 70° towards the west (left), so the angle from north is $360° - 70° = 290°$. 5. Angles like 20°, 160°, 340°, 110°, 270°, and 180° are measured clockwise from the north (0°). 6. To draw these angles accurately, plot each angle on a circle with 0° at the top (north), increasing clockwise. 7. Since you requested a drawing, but I cannot create images, I provide the exact angles in degrees from north for each direction: - 20° - S 70° W = 250° - 160° - S 20° W = 200° - N 70° W = 290° - 340° - 110° - 270° - 180° - N 70° E = 70° 8. You can plot these angles on a protractor or compass rose starting from north (0°) clockwise to visualize them accurately. Final answer: The angles converted to degrees from north clockwise are $20°, 250°, 160°, 200°, 290°, 340°, 110°, 270°, 180°, 70°$ respectively.