∵ 10% of x° is the compliment of 40% of 2x°.
∴ 10% of x° + 40% of 2x = 90°
⇒ (10/100)x + (40/100) × 2x = 90°
⇒ 10x/100 + 80x/100 = 90° ⇒ 90x/100 = 90°
∴ x = (90 × 100)/90 = 100°
Hence x = 100°
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