In a figure, one complementary angle has a measure of 36° and the other has a measure of (x−3)°. What is the value of x and the value of the unknown angle measure?(1 point)
x=
, unknown angle measure =
°what is x?
To find the value of x, we know that the sum of the two complementary angles must equal 90°. Thus:
36° + (x - 3)° = 90°
Combining like terms:
x + 33° = 90°
Subtracting 33° from both sides:
x = 57°
So, x = 57°.
Now, to find the measure of the unknown angle, we substitute x = 57° into the expression for the unknown angle measure:
Unknown angle measure = x - 3
Unknown angle measure = 57° - 3
Unknown angle measure = 54°
Thus, the value of the unknown angle measure is 54°.