Horizontal Sides

Question 1

For what value of x must ABCD be a parallelogram?

A four-sided figure ABCD has two horizontal sides and two vertical sides. A diagonal rises from vertex A to vertex C. Angles B and D are right angles. The angle at vertex A above the diagonal has a measure of (13x+3)° The angle at vertex C below the diagonal has a measure of (17x−5)°

x=

Question 2
You are given one 6-oz glass and 10-oz glass. You are allowed to drink 8-oz of orange juice without using 8-oz cup but using 6-oz and 10-oz cup. You can’t drink any orange juice until you have exactly 8-oz but you can discard if you don’t need it. How would you accomplish this?

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