Finding measures of the angles

Question

Assignment:

Q1. Draw at least 4 different nets that would form a cube.  (Use square auto-shapes in Microsoft Word)

Q2. Are angles of a triangle considered to be supplementary? Explain your answer.

Q3. Classify the following as true or false.  If false, tell why.

a. Two distinct lines that do not intersect are parallel
b. No square is a rectangle
c. If a plane contains one point of a line, it must contain the whole line.
d. A ray contains no endpoints

Q4. If the measure of an angle is 23^o17’18’’, what is the measure of its supplement?

Q5. If the non-base angle of angle of an isosceles triangle has a measure of 70^o, what is the measure of each base angle?

Q6. How many diagonals does a decagon have?

Q7. Is a rhombus a regular polygon?  Explain your answer.

Q8. Given the figure shown with 

 , find the following:

a.    m(< 1)
b.    m(< 2)
c.    m(< 3)
d.    m(< 4)
e.    m(< 5)

Q9.    In the figure, how is the measure of angle 4 related to the sum of the measures of angle 1 and angle 2?  Justify your answer.

Q10. In the following figures, find the measures of the angles marked x and y.

Provide complete and step by step solution for the question and show calculations and use formulas.