Two angles form a linear pair. The measure of one angle is 24º more than the measure of the other angle. Find the measure of each angle. Do not include the degree symbol in the answer.
both angles =180 larger angle is 24 degrees more than the smaller one.
Hi Blue! Let's start by assigning variables. Let x = measure of the smaller angle and y = measure of the larger angle. Since we know they form a linear pair, we know they add up to 180 degrees. We can write the equation x + y = 180. We also know that the larger angle (y) is (=) 24 degrees more (+) than the smaller one (x). We can turn this sentence into the equation y = 24 + x. We now have a system of equations and can use it to solve for the variables. I would recommend using substitution. You can replace y with (24 + x) in the first equation. You would get x + (24 + x) = 180. Solve the equation from there to get the value of x. Then you will also be able to find the value of y from one of the original equations.
