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larisa86 [58]
3 years ago
8

Ranking the correct answer brainliest !

Mathematics
2 answers:
nikklg [1K]3 years ago
6 0

Answer:

angle 3 =68°+47°=115°

Hope it helps you

AnnZ [28]3 years ago
4 0

Answer:

∠ 3 = 115°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 3 is an exterior angle of the triangle, then

∠ 3 = ∠ 1 + ∠ 2 = 68° + 47° = 115°

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###

Otherwise, you can derive the same result. Let \theta=\sin^{-1}\dfrac12, so that \sin\theta=\dfrac12. \sin^{-1} is bounded, so we know -\dfrac\pi2\le\theta\le\dfrac\pi2. For these values of \theta, we always have \cos\theta\ge0.

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