Question

Find the measures of two supplementary angles if their measures are in the given ratio.

2:3

Answer 1

Step-by-step explanation:

let the two angles be 2n and 3n

2n+3n=180°

5n=180/5

n=36

2n=36×2

=72°

3n=36×3

=108°

Answer 2

Answer:

Note

• Supplementary Angles Make 180°
• Let The Angles Be X

In Accordance To The Ratio,

The Angles Will Be 2X & 3X.

Expression

• 2X + 3X = 180°
• 5X = 180°
• X =
• $\frac{180}{5} = 36$

Therefore The Angles Are :

36 × 2 = 72°

36 × 3 = 108°

Condition

2 Angles Should Make Up To 180°

Confirmation

72 + 108 = 180°

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