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Harman [31]
3 years ago
13

Solve for x. The problem is in the picture!

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0
<h2>Question:- Solve for X </h2>

<h3>Given:- </h3>

According to the diagram:-

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

<h2>Answer:- </h2>

<h3>Exterior angle property:- </h3>

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

<h3>ATQ :- </h3>

\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

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