Question

2. The supplementary angles are in the ratio 3 : 2. Find the angles. ​

Answer 1

Step-by-step explanation:

Let the Supplementary angles be = 3x and 2x

Since both the angles are Supplementary, the sum of them will be 180°

Equation Formed :

: 3x + 2x = 180

: 5x = 180

: x =36

1st angle = (3×36)° = 108°

2nd angle = (2×36)° = 72°

Hence the angles are 108° and 72°

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Answer 2

Two angles are said to be supplementary if the sum of their measure is equal to 180°

Let assume the angles be x

• Where x is a multiple

According to the question

3x + 2x = 180°

5x = 180°

x = 180°/5

x = 36°

Required angles are :

• 3x = 3 × 36° = 108°

• 2x = 2 × 36° = 72°

Final Answer :

• 3x = 108°
• 2x = 72°