Question

problem 22: (first taught in lesson 16) add 27 to the measure of an angle, and the result is half of the angles supplement. what is the measure of the angle? after you enter your answer press go.

Explanation:

Step1: Define the angle

Let the measure of the angle be $x$ degrees.

Step2: Find the supplement

The supplement of the angle is $(180 - x)$ degrees.

Step3: Set up the equation

According to the problem, $x + 27=\frac{1}{2}(180 - x)$.

Step4: Solve the equation

Multiply both sides by 2: $2(x + 27)=180 - x$
Expand: $2x + 54 = 180 - x$
Add $x$ to both sides: $3x + 54 = 180$
Subtract 54: $3x = 126$
Divide by 3: $x = 42$

Answer:

42