Answer:
The measure of the two supplementary angles are 65 degrees and 115 degrees.
Step-by-step explanation:
The sum of supplementary angles is equal to 180 degrees. Let x and y are two angles such that,
![x+y=180\ ....(1)](https://tex.z-dn.net/?f=x%2By%3D180%5C%20....%281%29)
According to given condition,
One supplementary angle is 15 degrees less than twice the other, it means,
![x=2y-15\ .....(2)](https://tex.z-dn.net/?f=x%3D2y-15%5C%20.....%282%29)
Putting the value of x from above equation in equation (1),
![2y-15+y=180\\\\3y-15=180\\\\3y=195\\\\y=\dfrac{195}{3}\\\\y=65^{\circ}](https://tex.z-dn.net/?f=2y-15%2By%3D180%5C%5C%5C%5C3y-15%3D180%5C%5C%5C%5C3y%3D195%5C%5C%5C%5Cy%3D%5Cdfrac%7B195%7D%7B3%7D%5C%5C%5C%5Cy%3D65%5E%7B%5Ccirc%7D)
Now put the value of y in equation (1), so,
![x+65=180\\\\x=115^{\circ}](https://tex.z-dn.net/?f=x%2B65%3D180%5C%5C%5C%5Cx%3D115%5E%7B%5Ccirc%7D)
So, the measure of the two supplementary angles are 65 degrees and 115 degrees.
Did u make this up? Because there are would be loads
Answer:
∠8 = 40°, ∠6 = 50°, ∠9= 140°
Step-by-step explanation:
∠8 = 40° (vertically opposite angles are congruent)
now, using angle sum property of triangles
∠6 + 90° + 40° = 180°
∠6 = 180° - 130°
∠6 = 50°
and, using exterior angle property,
50° + 90° = ∠9 = 140°
Answer:
The midpoint is (-2,7)
Step-by-step explanation:
To find the x coordinate of the midpoint, take the x coordinates of the endpoints, add them and divide by 2
(-9+5)/2 = -4/2 =-2
To find the y coordinate of the midpoint, take the y coordinates of the endpoints, add them and divide by 2
(3+11)/2 = 14/2 = 7
The midpoint is (-2,7)
300 milliliters so divide that by 3 and get 100 milliliters