已知∠α与∠β互余,且∠α比∠β小25°,求2∠α-1⼀3∠β的值

2025-02-24 06:46:40
推荐回答(3个)
回答1:

解:∠α与∠β互余
即∠α+∠β=90①
∠α比∠β小25°
即∠β-∠α=25°②
①+②得
2∠β=115°
∠β=57.5° ③
③代入①得
∠α=32.5°
2∠α-1/3∠β=2×32.5°-57.5°/3
=65°-57.5°/3
≈45.8°

回答2:

∠α=(90-25)÷2=65/2°
∠β=90-65/2=25/2°

2∠α-1/3∠β
=2×65/2-1/3×25/2
=365/6°

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回答3:

∠α+∠β=90
∠β-∠α=25
∠α=32.5
∠β=57.5
2∠α-1/3∠β=2*32.5-57.5/3
=65-57.5/3