x+18,x+14and 3x+13 are angles of triangles ,find the value of X and angles if triangles
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Answer:
Angle 1 of triangle = x+18
Angle 2 of triangle = x+14
Angle 3 of triangle = 3x +13
Sum of all angles of triangle = 180
Hence, Angle 1 = x+18 =27+18 = 45
Angle 2 = x+14 = 27+14 =41
Angle 3 = 3x +13= 3(27) +13 = 81+13= 94.
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Given that:
The angles of triangle.
- First angle = (x + 18)°
- Second angle = (x + 14)°
- Third angle = (3x + 13)°
To Find:
- The value of x.
We know that:
- Sum of angles of a triangle is equal to 180°.
Finding the value of x:
According to the question.
ㅤ↠ㅤ(x + 18)° + (x + 14)° + (3x + 13)° = 180°
ㅤ↠ㅤx + 18° + x + 14° + 3x + 13° = 180°
ㅤ↠ㅤ5x + 45° = 180°
ㅤ↠ㅤ5x = 180° - 45°
ㅤ↠ㅤ5x = 135°
ㅤ↠ㅤx = 135°/5
ㅤ↠ㅤx = 27°
The value of x = 27°
Hence,
- First angle = (x + 18)° = (27° + 18)° = 45°
- Second angle = (x + 14)° = (27° + 14)° = 41°
- Third angle = (3x + 13)° = (3(27°) + 13)° = 94°
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