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 =
°
Since complementary angles add up to 90°, we can set up the equation:
36° + (x-3)° = 90°
Simplifying the equation:
x - 3 + 36 = 90
x + 33 = 90
Subtracting 33 from both sides:
x = 90 - 33
x = 57
The value of x is 57.
To find the unknown angle measure, we substitute x back into the equation:
x - 3 = 57 - 3 = 54°
The unknown angle measure is 54°.