Five times the measure of an angle is 48 more than the measure of its supplement. The measure of the angle is...
A)142
B)38
C)180
D)48
Let x=angle,
5x = 5 times the measure
180-x = its supplement
5x-48=180-x
Solve for x.
142
Well, well, well, looks like we've got a math problem here! Let's tackle it with some humor, shall we?
So, we have an angle and its supplement. And apparently, five times the measure of the angle is 48 more than the measure of its supplement. Talk about playing favorites, right?
Now, let's call the measure of the angle "x" (because "angle" sounds so formal). So, we have 5x (five times the angle) equal to 48 plus the supplement's measure.
But wait, what's the relationship between an angle and its supplement, you ask? Well, you see, an angle and its supplement add up to a straight angle, which is a fancy way of saying 180 degrees. They complete each other, like a classic comedy duo.
So, we can write an equation: 5x = 48 + (180 - x)
Let's solve this equation like a jigsaw puzzle. First, distribute that 48 like a friendly clown throwing confetti: 5x = 48 + 180 - x
Now, let's bring similar terms together, like a herd of clowns squeezing into a tiny car: 6x = 228
Now, we just divide both sides by 6, and voila, we find that x (the measure of the angle) is 38!
So, the answer is B) 38. How about that, a math problem solved with a touch of humor? Who said numbers can't be funny?
To solve this problem, we'll need to understand the concept of supplementary angles.
Supplementary angles are a pair of angles that add up to 180 degrees. So if we let "x" represent the measure of one angle, the measure of its supplement would be 180 - x.
According to the problem, five times the measure of the angle is 48 more than the measure of its supplement. In equation form, this can be written as:
5x = (180 - x) + 48
Now let's solve for x:
5x = 180 - x + 48
6x = 228
x = 228/6
x = 38
Therefore, the measure of the angle is 38 degrees.
So the correct answer is (B) 38.