If two angles in standard position have the same terminal side, they are coterminal angles. Which of the following represents the measures of all angles coterminal with a -220° angle? Illustration showing coterminal angles of 140° and -220°. Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side like 110° and -250° Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. Finding Coterminal Angles In Example 1(b), the angles 500° and 140° are coterminal because their terminal sides coincide. 15) 340 °, 140 ° 16) 355 °, â365 ° 17) 10 °, â90 ° 18) 25 °, â335 ° 19) 40 °, â400 ° 20) 55 °, 415 ° Find a coterminal angle between 0° and 360°. Coterminal angles are angles drawn in standard position that have a common terminal side. How to determine if Two Angles Are Coterminal, How to find angles that are coterminal to a given angle, Algebra 1 students, examples and step by step solutions, How to plot angles in standard position and coterminal angles, How to determine Coterminal Angles in Radian Measure, find a positive and a negative coterminal angle for each given angle 140° 315° 225° 120° Tags: ... What are possible negative and positive coterminal angles of 240 degrees? This project was created with Explain Everything⢠Interactive Whiteboard for iPad. Somebody screwed up. Examples Here are some examples of coterminal angles. 140 + 360n, for any integer n. An angle that shares the same sine value of an angle that measures mc022-1.jpg radians is located where? The answer is 140 (While it is true that -220 = 140 coterminal angles must be positive. The two angles of 140 and 220 are coterminal angles. In this illustration, both angles are labeled with the proper degree measure. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. 1. 1. An angle coterminal with a given angle can be found by adding or subtracting multiples of 360°. The angle of â220° is a negative angle, measured clockwise. 2. 21) 1002 ° 22) â205 ° 23) 765 ° 24) 930 ° 25) 650 ° 26) 478 ° 27) 610 ° 28) 575 ° 29) 540 ° 30) â615 ° 31) 705 ° 32) 465 ° answer choices . The angle of 140° is a positive angle, measured counterclockwise. For 500 subtract 360 and you get 140, that's all there is. THE DEFINITION AND EXAMPLES OF COTERMINAL ANGLES Definition Two angles are said to be coterminal if their terminal sides are the same. A negative coterminal angle to angle A may be obtained by adding -360°, -2(360)° = -720° (or any other negative angle multiple of 360°). Quadrant IV. But both angles have the same terminal side. Animation of the making of these two coterminal angles. A negative coterminal angle A c may be given by A c = -200° - 360° = -560° Example 2: Find a coterminal angle A c to angle A = - 17 Ï / 3 such that A c is greater than or equal to 0 and smaller than 2 Ï
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