What is the length of the diagonal of the rectangle?

If you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain.

Peter measures the angles in a triangle. he finds that the angles are 95, 10 and 75. is he correct? explain your answer

6cm10 cma conical paper cup has dimensions as shown in the diagram. how much water can the cup hold when full?