Question

Lines L, and L2 are parallel lines. Determine the measures of <1 through <12.

Answer 1

Answer:

1=47

2=64

3=69

4=47

5=47

6=111

7=47

8=133

9=69

10=111

11=133

12=47

Answer 2

The values of $\angle1,\angle12$ are given by $47^\circ$ each.

What are Parallel Lines?

Two straight lines are said to be parallel to each other of they meet for never or in another word each point on the lines have equal perpendicular distance to each other.

Here, $\angle4,69^\circ$ are alternative angles with respect to $L_1,L_2$ parallel lines and the transversal.

$\angle4=69^\circ$

Since the sum of angles on a straight line is $180^\circ$.

So,

$\angle4+64^\circ+\angle5=180^\circ\\69^\circ+64^\circ+\angle5=180^\circ\\133^\circ+\angle5=180^\circ\\\angle5=180^\circ-133^\circ=47^\circ$

Since $\angle1,\angle5$ are vertically opposite angles to each other.

$\angle1=\angle5=47^\circ$

Since $\angle5,\angle12$ are Corresponding angles with respect to parallel lines and transversal line.

$\angle12=\angle5=47^\circ$

Learn more about Parallel Lines here -

https://brainly.com/question/24607467

#SPJ2