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Answer:
50°,70°
Step-by-step explanation:
5x+7x+60°=180° ( angle sum property of a triangle)
12x=180°-60°
x=120°/12
x=10°
5x=5×10°
=50°
7x=7×10°
=70°
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Question:-
- One angle of a triangle is 60°. The other two angles are in the ratio of 5:7. Find two other two angles.
____________
Given :
- One angle of traingle is 60°
- Other two angles are in ratio of 5:7
To find:-
- Other two angles
Solution:-
We know that, according to the 'angle sum property of triangle', Sum of all interior angles of traingle is always 180°.
Now,
Supposing that constant of ratio is x then other two angles are 5x and 7x.
Now,
According to Angle sum property of triangle:-
Sum of all interior angles of triangle = 180°
→ 60°+5x+7x = 180°
→ 60° + 12x = 180°
→ 12x = 180° - 60°
→ 12x = 120°
→ x = 120/12
→ x = 10
Hence,
Constant of ratios is 10
Therefore,
- First angle is 60° ••••••(given)
- Second angle = 5x = 5×10 = 50°
- Third angle = 7x = 7×10 = 70°
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