Architects design slanted roof slabs for a building to allow rainwater to flow easily and prevent water accumulation. Each roof slab is shaped like a parallelogram so that the structure remains stable even on a slope. The angles between adjacent roof slabs are carefully measured to ensure proper alignment and drainage.
Based on the given information solve the following questions
1.Which property of the roof slabs confirms that its shape is a parallelogram?
2. The diagonals of the roof slab intersect each other at a point. Which property of the parallelogram does this show?
3.If an interior angle of a slanted roof slab is \(66^\circ\), what must be the measure of its adjacent angle?
4. If the roof slab is modified so that all angles become right angles, what will the new shape be?