The measure of angle X is 9 degrees more than twice the measure of angle Y. If angle Upper X and angle Y are supplementary angles, find the measure of angle X .
How would I set this up to solve? This is where I am stuck at?
since they add to 180, and x = 2y+9,
2y+9 + y = 180
Solve for y, and then you can get x.
To set up the problem, we can start by assigning variables to the measures of angle X and angle Y.
Let's say the measure of angle Y is represented by the variable y.
According to the problem, angle X is 9 degrees more than twice the measure of angle Y, so the measure of angle X can be represented by the expression 2y + 9.
Since angle X and angle Y are supplementary angles, their measures add up to 180 degrees. So, we can write the equation:
X + Y = 180
Substituting the expressions for X and Y, we have:
(2y + 9) + y = 180
Now, we can solve for y.
To solve this problem, we can start by assigning a variable to the measure of angle Y. Let's say the measure of angle Y is represented by the variable "y".
Now, according to the problem, the measure of angle X is 9 degrees more than twice the measure of angle Y. This can be written as:
X = 2y + 9
Next, we are given that angles X and Y are supplementary angles. Supplementary angles add up to 180 degrees. So we can set up the equation:
X + Y = 180
Now we can substitute the value of X from our first equation into the second equation:
(2y + 9) + y = 180
Simplifying this equation, we get:
3y + 9 = 180
Now, subtracting 9 from both sides of the equation, we have:
3y = 180 - 9
3y = 171
Finally, dividing both sides of the equation by 3, we find:
y = 171/3
y = 57
Now that we have the measure of angle Y, we can substitute it back into the first equation to find the measure of angle X:
X = 2(57) + 9
X = 123
Therefore, the measure of angle X is 123 degrees.