1. **Find the unknown sizes of angles (2 diagrams):** - Diagram 1: Two lines intersecting with angles $2x^\circ$, $x^\circ$, and $y^\circ$. - Diagram 2: Two intersecting lines forming a $120^\circ$ angle; angles $x$ and $y$ opposite each other. 2. **Diagram 1 analysis:** 1. The angles around a point sum to $360^\circ$. 2. Intersection angles are vertically opposite and therefore equal. 3. Assume $y^\circ$ is opposite to $x^\circ$, so $y = x$. 4. Given angles: $2x^\circ$, $x^\circ$, and $y = x$. 5. The sum of angles around intersection gives: $$2x + x + y + \text{other angle} = 360$$ But only three angles given; we consider that $2x$ and $y$ are opposite, and $x$ and the other angle are opposite. Without extra information, the key is vertical angles equal and supplementary adjacent angles sum $180^\circ$. 6. Thus, for adjacent angles $2x$ and $x$: $$2x + x = 180\implies 3x=180\implies x=60$$ 7. Then: $$y = x = 60$$ 3. **Diagram 2 analysis:** 1. Angles on a straight line sum to $180^\circ$. 2. Given one angle is $120^\circ$. 3. The opposite angle is $y$ and angle adjacent to $120^\circ$ is $x$. 4. $x$ and $120^\circ$ are supplementary: $$x + 120 = 180 \implies x=60$$ 5. Vertically opposite angles equal, so: $$y = 120$$ 4. **Draw a shape of cube and net of cube:** - Cube has 6 square faces. - Net of cube is 6 connected squares arranged in an unfolded pattern. 5. **How many faces does a pyramid have?:** - A square pyramid has 5 faces: 1 square base + 4 triangular sides. 6. **Perimeter of a square park is 320m. Write the formula to find the perimeter of a square.** - Perimeter $P$ of square with side length $s$ is: $$P = 4s$$ - Given $P=320$, side length is: $$s = \frac{P}{4} = \frac{320}{4} = 80\text{ meters}$$