Question

*Two adjacent angles on a straight line are in the ratio 6:3, then what is the measure of the greater angle?*

1️⃣ 90°
2️⃣ 110°
3️⃣ 120°
4️⃣ 180°

Answer 1

Answer:

The measure of the greater angle is 120°

Step-by-step explanation:

Sum of two adjacent angles on a straight line = 180°

Let the common multiple be x.

∴ Measures of the angles become 6x and 3x

∴ 6x + 3x = 180°

∴ 9x = 180°

∴ x = 180/9

∴ x = 20°

Greater angle = 6x = 6 (20) = 120°

Answer 2

The Sum of two adjacent angles on a straight line is 180°

Let the two adjacent angels be 6x and 3x

⇒ 6x + 3x = 180°

⇒ 9x = 180°

⇒ x = 180/9

⇒ x = 20°

∵ 6x = 6 × 20 = 120°

∵ 3x = 3 × 20 = 60°


∴ 120° > 60°

Answer = 120°

Hence, Option 3 is the correct answer..


You can even add 120° and 60° it’s 180°..