The sum of measures of angle X and angle Y is 90. If the measure of angle X is 30 less than twice the measure of angle Y, what is the measure of angle X?
1. B
2. C
3. C
4. B
if you are in HONORS ALGEBRA:
B
C
C
B
D
If you are in REGULAR ALGEBRA 1:
B
C
C
B
Ruby is right
1. b
2. c
3. c
2. b
Meow Meow Kit Kat is right
To find the measure of angle X, let's set up an equation based on the given information:
Let's say the measure of angle Y is represented by the variable "y".
According to the problem, the sum of the measures of angle X and angle Y is 90 degrees, so we can write the equation:
X + Y = 90
We are also given that the measure of angle X is 30 less than twice the measure of angle Y, which can be represented as:
X = 2Y - 30
Now, we have a system of equations:
1) X + Y = 90
2) X = 2Y - 30
To find the measure of angle X, we can substitute the value of X from equation 2) into equation 1) and solve for Y.
Substituting X = 2Y - 30 into equation 1) we get:
(2Y - 30) + Y = 90
Combining like terms:
3Y - 30 = 90
Adding 30 to both sides:
3Y = 120
Dividing both sides by 3:
Y = 40
Now that we have the value of Y, we can substitute it back into equation 2) to find the value of X:
X = 2(40) - 30
X = 80 - 30
X = 50
Therefore, the measure of angle X is 50 degrees.
x = 2y-30, so
2y-30 + y = 90
now you can find y, and then x.