two angles form a linear pair the measure of one angle is 24 more than the measure of the the other anglr
solve
x + x+24 = 180
x=78
To find the measures of the angles, let's assign variables to represent them. Let's say one angle measures x degrees.
According to the problem, the other angle is 24 more than the measure of this angle. So, the measure of the other angle can be represented as (x + 24) degrees.
Since the two angles form a linear pair, the sum of their measures is 180 degrees. Thus, we can write an equation to represent this:
x + (x + 24) = 180
Now, we can solve the equation to find the value of x. Let's simplify it:
2x + 24 = 180
2x = 180 - 24
2x = 156
x = 156/2
x = 78
Therefore, one angle measures 78 degrees (x). To find the measure of the other angle, we substitute this value back into the expression we found earlier:
x + 24 = 78 + 24 = 102
So, the measure of the other angle is 102 degrees (x + 24).