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Question:- Solve for X

Given:-

According to the diagram:-

  1. Angle D = (6x+ 8)°
  2. Angle E = (5X+8)°
  3. Exterior angle C = 82°

Answer:-

Exterior angle property:-

Exterior angle is equal to the sum of two opposite interior angle

ATQ :-

[tex] \angle D + \angle \: E = ext \angle C \\ 6x + 8 + 5x + 8 = 82 \\ 11x + 16 = 82 \\ 11x = 82 - 16 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = \frac{ \cancel{66}^{ \: \: 6} }{ \cancel{11} } \\ x = 6[/tex]

abidemiokin

The value of x from the figure is 6

Angles of a triangle

The sum of the interior angles of a triangle is equal to its exterior

Acording to the figure shown;

6x + 8 + 5x + 8 = 82

11x = 82 - 16

11x = 66

Divide both sides by 11

111x/11 = 66/11

x = 6

Hence the value of x from the figure is 6

Learn more on angles of a triangle here: https://brainly.com/question/25215131

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