Question

5. Find the value of × degrees in the diagram below. Enter your answer in the box provided.

Answer 1

Given:

Given a diamgram of line DC and triangle ABC.

`\begin{gathered} \angle EAC=(76-x)\degree \\ \\ \angle BAE=34\degree \\ \\ \angle BAD=(4x-8)\degree \end{gathered}`

Required:

To find the value of x.

Step-by-step explanation:

From the figure DC is straight line.

The angle of straight line is 180 degree.

So

`\begin{gathered} 76-x+34+4x-8=180 \\ 3x+102=180 \\ 3x=180-102 \\ 3x=78 \\ x=(78)/(3) \\ x=26 \\ \end{gathered}`

Final Answer:

`x=26\degree`