Question

5 6. [4 points] Discuss whether the following statement has sufficient and necessary information to define adjacent angles. Be sure to explain your reasoning as completely as possible. Adjacent angles are two angles with a common side. 7. Use the figure below to answer the questions that follow (given $l_1$ is parallel to $l_2$). 1 2 3 4 $l_1$ 5 6 $l_2$ 7 8 a. [2 points] Name one pair of alternate interior angles. b. [2 points] Name one pair of co-interior angles. c. [2points] Name one pair of alternate exterior angles. d. [2 points] Name one pair of corresponding angles. e. [4 points] Suppose that $m\angle3 = 4x + 17$ and $m\angle6 = 3x + 45$. Find the value of x and $m\angle3$.

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6. [4 points] Discuss whether the following statement has sufficient and necessary
information to define adjacent angles. Be sure to explain your reasoning as completely as
possible.
Adjacent angles are two angles with a common side.
7. Use the figure below to answer the questions that follow (given $l_1$ is parallel to $l_2$).
1 2
3 4
$l_1$
5 6
$l_2$
7 8
a. [2 points] Name one pair of alternate interior angles.
b. [2 points] Name one pair of co-interior angles.
c. [2points] Name one pair of alternate exterior angles.
d. [2 points] Name one pair of corresponding angles.
e. [4 points] Suppose that $m\angle3 = 4x + 17$ and $m\angle6 = 3x + 45$.
Find the value of x and $m\angle3$.

5
6. [4 points] Discuss whether the following statement has sufficient and necessary
information to define adjacent angles. Be sure to explain your reasoning as completely as
possible.
Adjacent angles are two angles with a common side.
7. Use the figure below to answer the questions that follow (given l1 is parallel to l2).
1 2
3 4
l1
5 6
l2
7 8
a. [2 points] Name one pair of alternate interior angles.
b. [2 points] Name one pair of co-interior angles.
c. [2points] Name one pair of alternate exterior angles.
d. [2 points] Name one pair of corresponding angles.
e. [4 points] Suppose that m∠3 = 4x + 17 and m∠6 = 3x + 45.
Find the value of x and m∠3.

Added by William B.

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