Assume that the given angles have been measured, and calculate the angles (marked as x) that could not be found by direct measurement.
a = 38
x = 1Your answer was incorrect, but has changed from what was graded.
Huh?
Assume that the given angles have been measured, and calculate the angle (marked as x) that could not be found by direct measurement. (Assume a = 36°.)
x = °
You subtract 90 degrees by the degree given (a=36) and you should get the correct answer for x.
To solve for the unknown angle, we need to use the fact that the sum of angles in a triangle is 180 degrees. Since you have given the measure of angle a as 38 degrees, we can find the value of x.
The sum of the three angles in a triangle is 180 degrees:
a + x + 90 = 180
Substituting the known value of angle a:
38 + x + 90 = 180
Combining like terms:
x + 128 = 180
To solve for x, we need to isolate the variable. Subtracting 128 from both sides of the equation:
x = 180 - 128
Simplifying the right side:
x = 52
So, the value of angle marked as x is 52 degrees.