Question
If two supplementary angles are in the ratio 2 : 7, then the angles are:
✓
Answer
- 40º, 140º
Solution:
We know that supplementary angles are those angles whose sum is 180°
The two given supplementary angles are in the ratio 2 : 7
Let the commom ratio be x
So angles are 2x and 7x respectively
2x + 7x = 180º
9x = 180º
$\text{x}=\frac{180^\circ}{9}=20^\circ$
2x = 2 × 40º = 40º
7x = 7 × 20º = 140º
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