Question

note: angles not necessarily drawn to scale.
x = □°

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°.

Step2: Set up the equation

We know that \(x + 115^{\circ}+160^{\circ}+\text{(the fourth - angle)}=360^{\circ}\). Since the angles around point \(E\) sum to 360°, and we have three of the angles, we can write the equation \(x+115 + 160+\text{(the fourth - angle)} = 360\). The fourth - angle is 0° (as there is no other non - accounted angle in the problem setup). So \(x+115 + 160=360\).

Step3: Solve for \(x\)

First, add 115 and 160: \(115 + 160=275\). Then the equation becomes \(x+275 = 360\). Subtract 275 from both sides: \(x=360 - 275\).
\(x = 85\)

Answer:

85