Answer:
• l =110°
,
• o= 70°
,
• s = 157°
,
• p = 23°
Explanation:
Angle l
Angles l and 110° form an X-shape. Thus, they are vertical angles.
The measures of vertical angles are equal, therefore:
The measure of angle l is 110 degrees.
Angle o
Angles l and o are on the same interior side of a transversal line, thus, l and o are same-side interior angles.
Same-side interior angles are supplementary, i.e. they add up to 180 degrees.
The measure of angle o is 70 degrees.
Angle s
Angles s and 23° are on a straight line.
The sum of angles on a straight line is 180 degrees. Therefore:
The measure of angle s is 157 degrees.
Angle p
Angles p and 23 form a Z-shape. Thus, they are alternate angles.
The measures of alternate angles are equal, therefore:
The measure of angle p is 23 degrees.