if one ane of a triangle is 80 and other two angle are in ratio 3:7 find the angle
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Answered by
12
Given :-
- The one angle of a triangle is 80 .
- The other two angle are in ratio 3:7.
To Find :-
- The angle obtained .
Solution :-
We know, that sum of all angles of a triangle is 180°. (Angle sum property of a triangle)
- First angle of triangle is 80°.
The other two angle of triangle are 3x° & 4x°
3x° + 7x° + 80° = 180°
➝ 10x° = 180 - 80
➝ 10x° = 100°
➝ x =
➝ x = 10
3x° = 3 × 10 = 30°
7x° = 7 × 10 = 70°
Let's Verify :-
3x° + 7x° + 80° = 180°
➝ 30° + 70° + 80° = 180°
➝ 180° = 180°
Hence, verified ✔
_____________________________________
Answered by
5
Given that,
One angle in triangle is 80°
Other two angles are in ratio 3:7
So let angles are 3x,7x
☆☆In a triangle sum of 3 angles are 180°
So,
3x + 7x +80° =180°
10x = 180°-80°
10x = 100°
x=10°
3x= 30°
7x= 70°
Therefore angles in a triangle are 30°,80°,70°
☆In a triangle 3 sides are equal call ot as equilateral triangle
☆If two sides are equal we call it as iscoceless triangle
☆In a triangle If all sides are different we call it as Scalene triangle
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