MCQ
If two supplementary angles are in the ratio $2 : 7$, then the angles are:
- ✓$40^\circ , 140^\circ$
- B$50^\circ , 130^\circ$
- C$70^\circ , 110^\circ$
- D$35^\circ , 145^\circ$
✓
Answer
Correct option: A.
$40^\circ , 140^\circ$
We know that supplementary angles are those angles whose sum is $180^\circ $
The two given supplementary angles are in the ratio $2 : 7$
Let the commom ratio be $x,$
So angles are $2x$ and $7x$ respectively $2x + 7x = 180^\circ$
$\text{x}=\frac{180^\circ}{9}=20^\circ$
$2x = 2 \times 40 = 40^\circ$
$7x = 7 \times 20^\circ = 140^\circ .$
The two given supplementary angles are in the ratio $2 : 7$
Let the commom ratio be $x,$
So angles are $2x$ and $7x$ respectively $2x + 7x = 180^\circ$
$\text{x}=\frac{180^\circ}{9}=20^\circ$
$2x = 2 \times 40 = 40^\circ$
$7x = 7 \times 20^\circ = 140^\circ .$
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