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?
Let the measure of angle Y be represented by the variable Y.
Since the sum of the measures of angle X and angle Y is 90, we can write the equation as:
X + Y = 90
The measure of angle X is 30 less than twice the measure of angle Y, so we can write the equation as:
X = 2Y - 30
Substituting the value of X from the second equation into the first equation, we get:
(2Y - 30) + Y = 90
3Y - 30 = 90
3Y = 120
Y = 40
Now, substituting the value of Y into the second equation, we get:
X = 2(40) - 30
X = 80 - 30
X = 50
Therefore, the measure of angle X is 50 degrees.