# The corners CMK and CMP are adjacent. Find the degree measure of the CMK angle if it is 34 degrees

**The corners CMK and CMP are adjacent. Find the degree measure of the CMK angle if it is 34 degrees less than the degree measure of the CMP angle.**

From the condition we know that two corners CMK and CMP are adjacent, and we also know that the CMK angle is 34 ° less than the CMP angle.

We’ll start the solution by recalling the property of adjacent corners. The sum of adjacent angles is 180 °.

That is, to find the degree measure of the CMK angle, we will compose and find a solution to the linear equation.

We denote by x ° the degree measure of the CMP angle, then the degree measure of the CMK angle can be written as (x – 34) °.

We get

x + (x – 34) = 180;

x + x – 34 = 180;

2x = 180 + 34;

2x = 214;

x = 107 ° is the degree measure of the CMP angle, then CMK = 107 ° – 34 ° = 73 °.