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SPM Additional Mathematics (KSSM)

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Bahasa Melayu
Penyelesaian secara lukisan berskala tidak diterima.

Rajah 6 menunjukkan sebuah sisi empat $ABCD$ dengan keadaan $AB$ selari dengan $DC$, dengan $AC = 9$ cm, $AB = 5$ cm, $BC = 6$ cm dan $\angle ADC = 115^\circ$. Diberi bahawa $\angle CAB = 38.94^\circ$.

Sisi $AB$ dipanjangkan ke satu titik $B'$ dengan keadaan segi tiga $A'B'C'$ memenuhi $B'C' = BC$, $A'C' = AC$ dan $\angle C'A'B' = \angle CAB$, serta segi tiga $A'B'C'$ tidak mempunyai bentuk yang sama dengan segi tiga $ABC$.

Cari $\angle A'B'C'$, dalam darjah, betul kepada satu tempat perpuluhan.

English
Answers obtained by scale drawing will not be accepted.

Diagram 6 shows a quadrilateral $ABCD$ in which $AB$ is parallel to $DC$, with $AC = 9$ cm, $AB = 5$ cm, $BC = 6$ cm and $\angle ADC = 115^\circ$. It is given that $\angle CAB = 38.94^\circ$.

The side $AB$ is extended to a point $B'$ so that triangle $A'B'C'$ satisfies $B'C' = BC$, $A'C' = AC$ and $\angle C'A'B' = \angle CAB$, and triangle $A'B'C'$ does not have the same shape as triangle $ABC$.

Find $\angle A'B'C'$, in degrees, correct to one decimal place.
ABCD5 cm6 cm9 cm115°Diagram 6 / Rajah 6
[3 marks]
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Modelled on Selangor trial · Kertas 2 · Q14(b)

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Modelled on Selangor trial · Kertas 2 · Q14(b)

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