If tan (5x – 10°) = cot (5y + 20°), the value of (x

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tan (5x – 10°) = cot (5y + 20°)
⇒ tan (5x – 10°) = tan (90° – (5y + 20°))
⇒ 5x – 10° = 90° – 5y – 20°
⇒ 5x + 5y =70° + 10°
⇒ 5 (x + y) = 80°

⇒ x + y =	80°	= 16°
	5