The angles of a triangle are in the ratio 1:3:5. Find the measure of each of the angles
please explain every step
Answers
Answered by
56
RELEVANT ANSWER ⬇️..
Let the angles of triangle be 'x', '3x' and '5x'
=》 x + 3x + 5x = 180° [angle sum property]
=》 9x = 180°
=》 x = 20°
hence, the angles of triangle are :-
x = 20°, 3x = 60° and 5x = 100°
HOPE THIS WILL HELP YOU ✌✌....
Answered by
37
GiveN :-
- Ratios of angles of triangle = 1:3:5
To FinD :-
- Measures of all angles of triangle
Explanation :-
[ Let the given triangle is ABC]
According to the question,
A : B : C = 1:3:5
Or,
- ∠ A = 1x
- ∠B = 3x
- ∠C = 5x
[We know that , sum of angles of triangle= 180°]
Hence, we can say that -
∠A +∠ B + ∠C = 180°
[ Substitute the values of A, B, C in above statement]
1x + 3x + 5x = 180°
=> 9x = 180°
=> x =
=> x = 20°
So, the angles of triangle are as =>
- 1x = 1 × 20° = 20°
- 3x = 3×20° = 60°
- 5x = 5×20° = 100°
Or,
- ∠A = 20°
- ∠B = 60°
- ∠C = 100°
Final Answer =>
Angle of triangle are = 20°, 60°, and 100°
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