if the measure of angles of tringle are in ratio 3:4:5 then sum of greatest and smallest angle is?
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Answered by
2
smallest angle = 45
greatest angle = 75
Answered by
0
Answer:
120°
Step-by-step explanation:
Given,
- Ratio = 3 : 4 : 5
Let the common ratio be x.
Hence, the angles are: 3x, 4x, 5x
Now, we know,
Sum of all angles in a triangle is 180°
A.T.P.
=) 3x + 4x + 5x = 180°
=) 12x = 180°
=) x = 180°/12
= 15°
Hence, the angles are: 3*15° = 45°
4*15° = 60°
5*15° = 75°
Thus,
Greatest angle = 75°
Smallest angle = 45°
And their sum = 75°+45° = 120°
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