Question
In a figure, one complementary angle has a measure of 36 degree and the other has a measure of (x -3) degree. What is the value of x and the value of the unknown angle measure?
x = ___, unknown angle measure = ____ degree
x = ___, unknown angle measure = ____ degree
Answers
Answered by
GPT 3.5
To find the value of x, we can use the fact that complementary angles add up to 90 degrees.
We know that one angle has a measure of 36 degrees. Let the other angle have a measure of (x-3) degrees.
The sum of the two angles is 36 + (x-3) = 90. Now we can solve for x.
36 + (x-3) = 90
x - 3 = 90 - 36
x - 3 = 54
x = 54 + 3
x = 57
Therefore, the value of x is 57.
To find the measure of the unknown angle, we substitute the value of x back into the expression (x-3).
Unknown angle measure = (x-3) = (57-3) = 54 degrees.
Therefore, the unknown angle measure is 54 degrees.
We know that one angle has a measure of 36 degrees. Let the other angle have a measure of (x-3) degrees.
The sum of the two angles is 36 + (x-3) = 90. Now we can solve for x.
36 + (x-3) = 90
x - 3 = 90 - 36
x - 3 = 54
x = 54 + 3
x = 57
Therefore, the value of x is 57.
To find the measure of the unknown angle, we substitute the value of x back into the expression (x-3).
Unknown angle measure = (x-3) = (57-3) = 54 degrees.
Therefore, the unknown angle measure is 54 degrees.