Nomor 26
Perlu diketahui bahwa:
- ∠EAF = ∠ABH = ∠BCJ = ∠BAD = ∠CBG = ∠ICK
- ∠BAF = ∠CBH = ∠JCK = ∠DAE = ∠ABG = ∠BCI
Maka,
•ᴥ• Cari nilai x terlebih dahulu
[tex]\small{\boxed{\begin{aligned} \sf 2x + 20^{o} + x + 4^{o} &= \sf 180^{o} \\ \sf 2x + x + 20^{o} + 4^{o} &= \sf 180^{o} \\ \sf 3x + 24^{o} &= \sf 180^{o} \\ \sf 3x &= \sf 180^{o} - 24^{o} \\ \sf 3x &= \sf 156^{o} \\ \sf x &= \sf 156^{o} \div 3 \\ \sf x &= \pink{\sf 52^{o}} \end{aligned}}}[/tex]
•ᴥ• Mencari nilai ∠FAE + ∠GBA + ∠ICK
[tex] \small{\boxed{\begin{aligned} \tiny{\sf Jumlah \: ketiga \: sudut} &= \sf (x + 4^{o}) + (2x + 20^{o}) + (x + 4^{o}) \\ \sf &= \sf x + 2x + x + 4^{o} + 20^{o} + 4^{o}\\ \sf &= \sf 4x + 28^{o} \\ \sf &= \sf 4(52^{o}) + 28^{o} \\ \sf &= \sf 208^{o} + 28^{o} \\ \sf &= \pink{\boxed{\sf 236^{o}}} \: \sf Opsi \: C \end{aligned}}}[/tex]
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Nomor 27
[tex]\small{\boxed{\begin{aligned} \sf Kll &= \sf (2 \times (p + l) - (r \times 4)) + (2 \times (\frac{1}{4} \times \pi \times 2r)) \\ \sf &= \sf (2 \times (20 + 15) - (7 \times 4)) + (2 \times ( \frac{1}{4} \times \frac{22}{7} \times 2(7))) \\ \sf &= \sf (2 \times 35 - 28) + (2 \times ( \frac{22}{28} \times 14)) \\ \sf &= \sf (70 - 28) + (2 \times 11) \\ \sf &= \sf 42 \: cm + 22 \: cm \\ \sf &= \pink{\boxed{\sf 64 \: cm}} \: \sf Opsi \: D \end{aligned}}}[/tex]
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