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 °.