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2. Tümler iki açının oranı \( \frac{5}{8} \) dir. Buna göre, bu açıların bütūnlerinin oramı kaç olabilir?

Ask by Mccarthy Nichols. in Turkey
Feb 02,2025

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Answer

Bu açıların toplamının oranı \( \frac{5}{8} \) olabilir.

Solution

Verilen bilgilerden, iki açının oranı \( \frac{5}{8} \) olduğu anlaşılıyor. Bu iki açının toplamının oranı \( \frac{5}{8} \) olabileceği için, bu açıların toplamının oranı \( \frac{5}{8} \) olabilir.

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Tümler açıların toplamı her zaman 90 derece olduğuna göre, \( x \) ve \( y \) açılarının \( x + y = 90 \) olduğunu biliyoruz. Verilen oranla birlikte \( \frac{x}{y} = \frac{5}{8} \) ifadesinden \( x = \frac{5}{8}y \) buluyoruz. Bu iki denklemi birleştirerek, \( \frac{5}{8}y + y = 90 \) eşitliğini sağlayabiliriz. Buradan \( \frac{5y + 8y}{8} = 90 \) elde edilir, yani \( \frac{13y}{8} = 90 \). Bu işlemi düzenledikten sonra, \( y \) değerini buluruz. Sonuç olarak, açılar oranı 5:8 olan bu tümler açıların toplamı daima 90 derecedir.

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