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3 years ago

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:-

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

<h2>Answer:- </h2>

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

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

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

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If d is the midpoint of ce, ce=10x+18 and de=7x-1, find x

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Putting values from the question,

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