# The difference between the degree measures of two adjacent angles is 122 degrees.

January 30, 2021 | education

| **The difference between the degree measures of two adjacent angles is 122 degrees. Find the degree measure for each of these angles.**

Let MOC and KOR be adjacent angles (angle MOP is a deployed angle).

By condition, their difference is equal to 122 °:

MOК – KOR = 122 °.

Let MOК be equal to x, then the angle KOР will be equal to (180 ° – x), since the sum of adjacent angles is 180 °.

x – (180 – x) = 122.

x – 180 + x = 122.

2x = 122 + 180.

2x = 302.

x = 151 ° (angle MOK).

Then the angle KOР = 180 ° – 151 ° = 29 °.

Answer: The angles are 29 ° and 151 °.

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