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Vraag 8.1 In die diagram hieronder is raakyln KT aan die sirkel by K ewewydig aan die koord NM - NSC Mathematics - Question 8 - 2016 - Paper 2

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Vraag 8.1 In die diagram hieronder is raakyln KT aan die sirkel by K ewewydig aan die koord NM. NT sny die sirkel by L. ∠AKML is getrek. M₂ = 40° en MKT = 84°. Bepa... show full transcript

Worked Solution & Example Answer:Vraag 8.1 In die diagram hieronder is raakyln KT aan die sirkel by K ewewydig aan die koord NM - NSC Mathematics - Question 8 - 2016 - Paper 2

Step 1

8.1.1 K₂

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114 rated

Answer

K₂ = M₂ = 40°

Toepas die tan koordstelling.

Step 2

8.1.2 N₁

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104 rated

Answer

N₁ = K₂

∠s in dies segm = 84° - 40° = 44°.

Step 3

8.1.3 T₁

96%

101 rated

Answer

T₁ = N₁ = 44°

Toepas die alternatiewe hoeke.

Step 4

8.1.4 L₂

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Answer

L₂ = K₂ + T₁

L₂ = 40° + 44° = 84°.

Step 5

8.1.5 L₁

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Answer

In ΔKLM:

44° + 84° + 40° + L₁ = 180°

∠s sum in Δ.

Step 6

8.2

97%

121 rated

Answer

Cₑ = 108°

2x + 40° + 108° = 180°

2x = 32°

x = 16°.

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