Question
the sum of the 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?
Answers
GPT 3.5
Let's represent the measure of angle Y as "y".
According to the problem, the measure of angle X is 30 less than twice the measure of angle Y. Therefore, the measure of angle X = 2y - 30.
We also know that the sum of the measures of angle X and angle Y is 90. So, we can write the equation:
X + Y = 90
(2y - 30) + y = 90
Simplifying the equation:
3y - 30 = 90
Adding 30 to both sides:
3y = 120
Dividing by 3:
y = 40
Therefore, the measure of angle X is 2y - 30 = 2(40) - 30 = 80 - 30 = 50.
The measure of angle X is 50 degrees.
According to the problem, the measure of angle X is 30 less than twice the measure of angle Y. Therefore, the measure of angle X = 2y - 30.
We also know that the sum of the measures of angle X and angle Y is 90. So, we can write the equation:
X + Y = 90
(2y - 30) + y = 90
Simplifying the equation:
3y - 30 = 90
Adding 30 to both sides:
3y = 120
Dividing by 3:
y = 40
Therefore, the measure of angle X is 2y - 30 = 2(40) - 30 = 80 - 30 = 50.
The measure of angle X is 50 degrees.