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Q: How can half angle identities help solve nonspecial angle measures?

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With trigonometry by using the cosine rule

With trigonometry by using the cosine rule

Unlike equations (or inequalities), identities are always true. It is, therefore, not possible to solve them to obtain values of the variable(s).

by proving l.h.s=r.h.s

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A protractor is used for measuring angles and the 3 angles in a triangle add up to 180 degrees.

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You make them less complicated by using trigonometric relationships and identities, and then solve the less complicated questions.

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Suppose the angle is x then its supplement is 180 - x so 180 - x = x - 78 that is, 258 = 2x or x = 258/2 = 129 <><><><><> Angle + Supplement = 180 Angle = Supplement + 78 Solve for the system of equations... Angle + Supplement = 180 Angle - Supplement = 78 ------------------------------------- 2 Angle = 258 Angle = 129 Supplement = 51

Use a protractor.

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