1. The construction workers will be building two straight hallways that will intersect in the center of the building, making angles A, B, C, and D reading clockwise. What observation can you make about angles A and C? When drawing the blueprints for this intersection, an architect said that the measure of angle C would be 70 degrees and the measure of angle D would be 105 degrees. Explain why their measurements must be incorrect.

2. A team of construction workers is trying to make sense of the architect's blueprints. They see that an elevator shaft is drawn 7 inches tall. The construction workers read at the bottom of the blueprints "Scale: 2 inches = 9 feet." Help them determine the actual height of the elevator shaft.

Would doubling the left side of the scale equation (i.e., 4 inches = 9 feet) cause the elevator shaft to also double in height? Explain

3. The construction team plans to install a wheelchair ramp in the shape of a right triangular prism. Each side of the ramp should be represented by a right triangle with a 3-foot side, a 15-foot side, and a 90-degree angle between them. Use a ruler and a protractor to determine whether or not it is possible to draw this triangle. If not, explain your reasoning.

4. A section of a wall has two angled supports that meet to form a right angle in the corner. The measure of the larger of the two angles is 9 degrees more than twice the measure of the smaller angle. Let x represent the measure of the smaller angle. Write and solve an equation to find the value of x. What are the measures of the angles that form the corner support?