Question

Solve for x. The problem is in the picture!

Answer 1

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 :-

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