Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's supplement.
The measure of the angle is thirty dash five times greater than its supplement.
What is the measure of the supplement?
Measure of supplement?
5 degrees
Measure of other angle?
175 degrees
How?
180=35y+y
if x=35y then you can eliminate the x variable using the 35y, letting 35y+y=180 become easier to solve, leaving only one variable to figure out. The remaining question to ask when looking at 35y+y=180 is "What number can be multiplied by 35 and then added to that product to equal 180?" If you were to test it starting at 1, you would find that 5*35=175 and 175+5=180, finding the answer to your questions.
Tip: Remember that "Supplement"=Y and "Other Angle"=X. When putting in answers, remember that the Supplement=Y=5 and the Other Angle=X=175. I myself almost forgot this.
Hope this helps anyone else trying to figure this out! I know I was stuck for a while on this one.
To find the measures of the two angles, we can use algebraic equations.
Let's assume the measure of the angle is A, and its supplement is S. According to the problem, the measure of the angle is 35 times greater than its supplement.
This can be expressed as:
A = 35S
Additionally, we know that the sum of an angle and its supplement is 180 degrees. So we can write:
A + S = 180
Now we can substitute the value of A from the first equation into the second equation:
35S + S = 180
Combining like terms, we have:
36S = 180
To isolate S, we divide both sides of the equation by 36:
S = 180/36 = 5
Therefore, the supplement of the angle is 5 degrees.
Now we can substitute this value back into the first equation to find the measure of the angle:
A = 35S = 35(5) = 175
Hence, the measure of the angle is 175 degrees.
Can't see diagrams here.
hint: Supplementary angles add up to 180°