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प्रश्न
The angles of a hexagon are x + 10°, 2x + 20°, 2x – 20°, 3x – 50°, x + 40° and x + 20°. Find x.
उत्तर
angles of a hexagon are x + 10°, 2x + 20°, 2x – 20°, 3x – 50°, x + 40° and x + 20°.
∴ But sum of angles of a hexagon = (x - 2) × 180°
= (6 - 2) × 180° = 4 × 180° = 720°
But sum = x + 10 + 2x + 20° + 2x - 20° + 3x - 50° + x + 40 + x + 20
= 10x + 90 - 70 = 10x + 20
∴ 10x + 20 = 720°
⇒ 10x = 720 - 20 = 700
⇒ x = `700^circ/10 = 70^circ`
∴ x = 70°
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