Question
Twocomplentary angles have measure (2x)and 3x what is the value of x a d the two angle measure
Answers
GPT 3.5
To find the value of x and the measures of the two complementary angles, we can use the fact that complementary angles add up to 90 degrees.
Let the measure of the first angle be 2x and the measure of the second angle be 3x. According to the given information, these two angles are complementary. So, we can write the equation:
2x + 3x = 90
Combining like terms, we have:
5x = 90
Dividing both sides of the equation by 5, we get:
x = 18
Now we can substitute this value of x back into the expressions for the angle measures:
Angle 1 = 2x = 2(18) = 36 degrees
Angle 2 = 3x = 3(18) = 54 degrees
Therefore, the value of x is 18, and the angle measures are 36 degrees and 54 degrees.
Let the measure of the first angle be 2x and the measure of the second angle be 3x. According to the given information, these two angles are complementary. So, we can write the equation:
2x + 3x = 90
Combining like terms, we have:
5x = 90
Dividing both sides of the equation by 5, we get:
x = 18
Now we can substitute this value of x back into the expressions for the angle measures:
Angle 1 = 2x = 2(18) = 36 degrees
Angle 2 = 3x = 3(18) = 54 degrees
Therefore, the value of x is 18, and the angle measures are 36 degrees and 54 degrees.