Question

490 35° 55 What is the value of x? C. 111 B 104 OD 76

Answer 1

Given data:

The given figure is shown.

The expression for the angle sum property for the right side triangle.

`\begin{gathered} 49^(\circ)+55^(\circ)+y=180^(\circ) \\ y=76^(\circ) \end{gathered}`

The angle 76 degrees is vertical opposite angle in the left side triangle.

`\begin{gathered} 35^(\circ)+76^(\circ)+x^(\circ)=180\circ \\ 111^(\circ)+x^(\circ)=180^(\circ) \\ x=69 \end{gathered}`

Thus, the value of x is 69, so option (A) is correct.