two angles are in ratio 4 ratio 5 find the angle if they are supplementary to each other
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Answered by
0
Answer:
4/9×100=80
5/9×100=100
Answered by
6
Given :
- Ratio is 4:5 and the angles are supplement to each other.
To find :
- The angles.
According to the question,
Let the angle be 4x and 5x
And supplement angle is 180°
→ 4x + 5x = 180°
→ 9x = 180°
→ x = 180° ÷ 9
.°. x = 20°
_____________....
Value of 4x
→ 4x
→ 4 × 20°
→ 80°
_____________....
Value of 5x
→ 5x
→ 5 × 20°
→ 100°
So,the angles are 80° and 100°...
_______...
Verification :
→ 4x + 5x = 180°
Putting the value of x
→ 4 × 20° + 5 × 20° = 180°
→ 80° + 100° = 180°
→ 180° = 180°
.°. L.H.S = R.H.S
Hence,Verified...
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