two angles of a triangle are equal and the third angle is greater than each of those angles by 30 degree determine all the angles of a triangle.
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sum of all angles of a triangle is 180°
let the two equal angles be x° and x°
x+x+(x+30°)=180°
3x+30°=180°
3x=180°-30°
3x=150°
x=150°/3
x=50°
let the two equal angles be x° and x°
x+x+(x+30°)=180°
3x+30°=180°
3x=180°-30°
3x=150°
x=150°/3
x=50°
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Given :-
Two angles of a triangle are equal and the third angle is greater than each of those angles by 30 degree
To Find :-
All angle
Solution :-
Let the angle be x,x and x + 30
x + x + x + 30 = 180
3x + 30 = 180
3x = 180 - 30
3x = 150
x = 150/3
x = 50
Now
1st angle = 2nd angle = 50
3rd abgle = 50 + 30 = 80
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