If the angle of a tringle are in the ratio 4:4:2, find the value of each engle
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Question :
If the angles of a triangle are in the ratio 4:4:2, find the value of each angle.
Answer :
The angles are 72°, 72° and 36°
Given :
the angles of a triangle are in the ratio 4:4:2
To find :
the value of each angle
Solution :
the angles of a triangle are in the ratio 4:4:2
Let the angles be
- 4x
- 4x
- 2x
We know that,
Sum of all angles in a triangle = 180°
4x + 4x + 2x = 180°
10x = 180°
x = 180°/10
x = 18°
Substitute the value of x,
⇒ 4x = 4(18°) = 72°
⇒ 4x = 4(18°) = 72°
⇒ 2x = 2(18°) = 36°
The angles are :
- 72°
- 72°
- 36°
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