Two angles form a linear pair. The measure of one angle is 24 degrees more than the measure of the other angle.
Can somebody please tell me what this equation would be?
a linear pair is 180º
a + a + 24 = 180
To find the equation for this situation, let's assign variables to the angles involved.
Let's say the measure of one angle is x degrees, and the measure of the other angle is y degrees.
According to the given information, the two angles form a linear pair. This means that the sum of their measures equals 180 degrees.
So, we can write the first equation as:
x + y = 180 (equation 1)
The other piece of information states that the measure of one angle is 24 degrees more than the measure of the other angle. In other words, if we add 24 degrees to the smaller angle, we get the larger angle.
This can be written as:
x + 24 = y (equation 2)
These two equations represent the given information, and together they form a system of equations to solve for the measures of the angles.
To find the equation representing this situation, let's assign variables to the angles involved. Let's say the measure of one angle is x degrees, and the measure of the other angle is y degrees.
According to the given information, the two angles form a linear pair. A linear pair refers to two adjacent angles that together make a straight line, which means their sum is always 180 degrees.
So, we have the equation:
x + y = 180
The second piece of information states that "the measure of one angle is 24 degrees more than the measure of the other angle." This implies that one angle is the other angle plus 24 degrees:
x = y + 24
Combining these two equations gives us the complete equation representing the situation:
x + y = 180
x = y + 24