How to Find Angles?

#Mathematics

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Use a protractor to measure the angle directly

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Identify known angle relationships such as complementary, supplementary, vertical, and corresponding angles

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Apply the angle sum of a triangle: angles add to 180°

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Apply the angle sum of a quadrilateral: angles add to 360°

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Use the exterior angle theorem for triangles

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Use parallel line angle rules with a transversal

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Set up and solve algebraic equations from given angle expressions

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Use trigonometric ratios in right triangles

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Use the law of sines for non-right triangles

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Use the law of cosines for non-right triangles

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Use coordinate geometry with slopes or vectors

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Use a compass and straightedge for geometric constructions

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Check the result by substituting back into the given relationships

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