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2 3 1 A central angle separates the circle into two arcs with measures related to the measure of the central angle. Then You measured angles and identified congruent angles. (Lesson 1-4) Now Identify central angles, major arcs, minor arcs, and semicircles, and find their measures. Find arc lengths. New Vocabulary central angle arc minor arc ...

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In an isosceles triangle two sides are the same length and two angles (the angles formed with the base line) are equal. If we know one angle in an isosceles triangle we can find the other angles. The perpendicular from the vertex to the base line (the height) in an isosceles triangle divides the triangle into two equal right angled triangles.

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Two Angles are Supplementary when they add up to 180 degrees. These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°: Notice that together they make a straight angle .

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Learn about the difference between acute, obtuse, and right angles.

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Sample: angle A = 30 degrees and and angle B = 60 degrees. Then angle A + angle B = 90 degrees. We can say angles A and B are complementary. Supplementary Angles - Two angles whose measures add up to 180 degrees. Supplementary angles can be placed so that they form a straight line. Sample: angle A = 80 degrees and angle B = 100 degrees. Then ...

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17. Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspended over a town square. The decoration has a mass of 5 kg. The ropes, fastened at different heights, make angles of 52 and 40 degrees with the horizontal, Find the tension in Introduction: In this lesson, formulas involving the sum and difference of two angles will be defined and applied to the fundamental trig functions. The Lesson: For two angles a and b, we have the following relationships: