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प्रश्न
The angles of a triangle are (2x – 30°),(3x – 40°) and ( x + 10°) Find the value of x .
उत्तर
∵ The sum of angles of a triangle = 180°
∴ (2x – 30°) + (3x – 40°) + `(5/2x + 10°) = 180°`
⇒ 2x - 30° + 3x - 40° + `5/2`x + 10° = 180°
⇒ 2x + 3x + `5/2`x - 70° + 10° = 180°
⇒ `("4x" + "6x" + "5x")/2 - 60° = 180°`
⇒ `15/2`x = 180° + 60° = 240°
x = `(240° xx 2)/15 = 32`
∴ x = 32°
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