Option 3 : 150°, 30°

The product of pair of supplementary angle is 4500

Check the product of pairs which are given in option

Option 1) 130 × 50 = 6500

Option 2) 160 × 20 = 3200

Option 3) 150 × 30 = 4500

Option 4) 120 × 60 = 7200

Only option 3) have pair which product is 4500

**∴ The pair of supplementary angle is 4500.**

**The traditional method is given below:**

**Given:**

Product of pair of supplementary angle = 4500

**Concept used:**

The sum of pair of Supplementary angle is 180°

**Calculation:**

Let the pair of supplementary angle be x and y

⇒ x + y = 180°

⇒ y = 180° - x

According to the question

x × y = 4500

substitute the value of y

⇒ x(180° - x) = 4500

⇒ 180°x - x2 = 4500

⇒ x^{2} - 180°x + 4500 = 0

⇒ (x - 150°)(x - 30°) = 0

⇒ x = 150°, 30°

If x is 150°

⇒ y = 30°

If x is 30°

⇒ y = 150°

**∴ The pair of supplementary angle is 150°, 30°**