The measure of angle 2. m∠2 = 36°
Basic concept of parallel lines -
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect with each other.
Also the property of parallel lines states that the base angle subtended due to a common straight line of two or more given parallel lines is always equal.
How to find the base angle of two parallel lines as given in the problem ?
Given lines k and p are parallel.
Thus the base angles m∠1 and m∠2 are also equal from the property .
Given m∠1 = 5x + 1 and m∠2 = 8x - 20
⇒ 5x + 1 = 8x - 20
⇒ 3x = 21
∴ x = 7
m∠2 = 8x - 20 = 8*7 - 20 = 36°
The measure of angle m∠2 is 36°
To learn more about concepts of parallel lines, refer -
https://brainly.com/question/7197064
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