I am doing 7th grade algebra, and my homework is due by 9:00 and I don't know how to solve this question:
Find the measures of supplementary angles 1 and 2 if,
A) m angle 1 is less than m angle 2 by 40 degrees
B) m angle 1:m angle 2=5:4
Please help soon my class starts at 9:00
first, recall that supplementary means they add to 180. So, now you know that
A) The two angles are x and x-40
x-40 + x = 180
B) The two angles are 5x and 4x. So,
5x+4x = 180
So, just solve for x, and then you can work out the angles.
Sure! I can help you with that.
To find the measures of supplementary angles 1 and 2, we need to remember that supplementary angles add up to 180 degrees. Let's solve the given questions step by step:
A) If angle 1 is less than angle 2 by 40 degrees, we can set up the equation as follows:
angle 1 + angle 2 = 180 degrees
angle 1 = angle 2 - 40 degrees
Substituting the value of angle 1 into the equation, we get:
angle 2 - 40 + angle 2 = 180
2angle 2 - 40 = 180
2angle 2 = 180 + 40
2angle 2 = 220
angle 2 = 220/2
angle 2 = 110 degrees
To find angle 1, we substitute the value of angle 2 back into the equation:
angle 1 = angle 2 - 40
angle 1 = 110 - 40
angle 1 = 70 degrees
So, angle 1 measures 70 degrees and angle 2 measures 110 degrees.
B) If the ratio of angle 1 to angle 2 is 5:4, we can set up the equation as follows:
angle 1 + angle 2 = 180 degrees
angle 1/angle 2 = 5/4
We can rewrite the second equation as:
angle 1 = (5/4) * angle 2
Substituting this value into the first equation, we get:
(5/4) * angle 2 + angle 2 = 180
(5/4 + 1) * angle 2 = 180
(9/4) * angle 2 = 180
angle 2 = (180 * 4) / 9
angle 2 = 80 degrees
To find angle 1, we substitute the value of angle 2 back into the equation:
angle 1 = (5/4) * angle 2
angle 1 = (5/4) * 80
angle 1 = 100 degrees
So, angle 1 measures 100 degrees and angle 2 measures 80 degrees.
I hope this helps! Make sure to check your answers and submit your homework before 9:00. Good luck with your class!