Q. 1275.0( 2 Votes )
The angles of a triangle are arranged in descending order of their magnitudes. If the difference between two consecutive angles is 10°, find the three angles.
Answer :
Given: Angle of triangle are in descending order
difference between two consecutive angles is 10°
Formula Used/Theory:-
→ Angle sum property
Sum of all angles of triangle is 180°
Let the largest angle be x
Then the 2nd angle will be x-10°
And 3rd angle will be (x-10°)-10°
= x-20°
By angle sum property
x + (x-10°) + (x-20°) = 180°
3x-30° = 180°
3x = 180° + 30° = 210°
x = 
= 70°
the angle will be 70°;(70° -10°);(70°- 20°)
The angles of triangle will be 70°;60°;50°
Result:- The angles of triangle will be 70°;60°;50°
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