Answer:
45°
135°
Step-by-step explanation:
Let the measure of one angle be x
So, measure of its supplementary angle = 3x
![\implies \: x + 3x = 180 \degree \\ \\ \implies \: 4x = 180 \degree \\ \\\implies \: x = \frac{ 180 \degree}{4} \\ \\\implies \: x = 45 \degree \\ \\ \implies \: 3x = 135 \degree](https://tex.z-dn.net/?f=%5Cimplies%20%5C%3A%20x%20%20%2B%203x%20%20%3D%20180%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Cimplies%20%5C%3A%204x%20%3D%20180%20%5Cdegree%20%20%5C%5C%20%20%5C%5C%5Cimplies%20%5C%3A%20x%20%3D%20%5Cfrac%7B%20180%20%5Cdegree%7D%7B4%7D%20%5C%5C%20%20%5C%5C%5Cimplies%20%5C%3A%20x%20%3D%2045%20%5Cdegree%20%5C%5C%20%20%5C%5C%20%20%5Cimplies%20%5C%3A%203x%20%20%3D%20135%20%5Cdegree%20)
Answer:
If you look over the steps you can see that until 4x + x + 3 = 18, evertything is dandy. But the step after that 4x + x =21 seems a bit fishy.
Think about it they subtract 3 from both sides so the first side is correct
4x + x, but they added 3 to the other side:
![(4x+x+3) - 3 = 18 - 3\\4x+x = 15](https://tex.z-dn.net/?f=%284x%2Bx%2B3%29%20-%203%20%3D%2018%20-%203%5C%5C4x%2Bx%20%3D%2015)
not
4x+x = 21
Then we solve for 4x + x = 15
![5x = 15\\x = \frac{15}{5} \\x = 3](https://tex.z-dn.net/?f=5x%20%3D%2015%5C%5Cx%20%3D%20%5Cfrac%7B15%7D%7B5%7D%20%5C%5Cx%20%3D%203)
To solve for y we use :
y = x+3
y = 3+3 = 6
so (3,6) is the right answer
Let m the tens digit and n the ones
the Original number is 10m+n
7(m+n) =10m+n
7m+7n=10m+n
6n=3m
Reversing the number 10n+m
10n+m=18+n+m
9n=18
n=2
6n=3m
6(2)=3m
3m=12
m=4
the number is 10m+n=10(4)+2=42
86? I'm not sure, sorry.
I plugged in the x and y values of the point given
Answer:
Step-by-step explanation: