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.
4 answers
What is the measure of the supplement?
Can't see diagrams here.
hint: Supplementary angles add up to 180°
hint: Supplementary angles add up to 180°
need help
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.
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.