Two lines intersect at a point. The angles formed at the intersection are $75^\circ$, $45^\circ$, and $055^\circ$ (which can be read as $55^\circ$). The task is to find the angle denoted by $z$.
2025/5/22
1. Problem Description
Two lines intersect at a point. The angles formed at the intersection are , , and (which can be read as ). The task is to find the angle denoted by .
2. Solution Steps
When two lines intersect, they form four angles. The sum of the angles around the intersection point is . Also, vertically opposite angles are equal.
Given angles are , and .
Let's denote the four angles as , , and .
Let , , .
Since the sum of the angles around a point is ,
3. Final Answer
The angle is .