Math, asked by shivaniburra83, 10 months ago

x+18,x+14and 3x+13 are angles of triangles ,find the value of X and angles if triangles​

Answers

Answered by Anonymous
3

HeYa❤️...

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

x + 18 + x + 14 + 3x + 13 = 180 \\ 5x + 45 = 180 \\ 5x = 180 - 45 \\ 5x = 135 \\ x = 27

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.

I hOpe It HeLpS Ya!

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Answered by TheBrainliestUser
2

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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