Question

is the first question true or false question 2 is asking are angles one and two adjacent angles forming a straight angle? The third question ask does the angle addition postulate say the m<1+m<2=180?the last question says if you agree with the last few statements then you can substitute the value of angle one into the equation above to find out the measure of angle 2. What does angle 2 equal ?

Answer 1

The line l and line m is parallel to each other and line q is transverse line. So angle 1 and angle 42 are corresponding angles. Thus,

$\angle1=42$

So the corresponding angle postuates is the reason why angle 1 = 42 is True.

The angle 1 and angle 2 has a common arm (or side) and commom vertex. So angle 1 and angle 2 are adjacent angles. The angle 1 angle 2 together form a straight line. So answer is True.

The angle 1 and angle 2 form a straight line. So sum of angles is equal to 180 degrees.

$\angle1+\angle2=180$

So answer is True.

Substitute 42 for angle 1 in equation to determine the measure of angle 2.

$\begin{gathered} \angle2+42=180 \\ \angle2=180-42 \\ =138 \end{gathered}$

The measure of angle 2 is 138 degrees.