a figure, one complementary angle has a measure of 36 and the other has a measure of (x - 3) °.
What is the value of a and the value of the unknown angle measure?
(1 point)
X = , unknown angle measure
The given information suggests that we have two complementary angles.
The first complementary angle has a measure of 36°.
The second complementary angle has a measure of (x - 3)°.
Since the sum of two complementary angles is always 90°, we can set up the equation:
36° + (x - 3)° = 90°
Now we can solve for x by isolating it on one side of the equation:
36° + x - 3° = 90°
Combining like terms:
x + 33° = 90°
Subtracting 33° from both sides:
x = 90° - 33°
x = 57°
Therefore, the value of x is 57.
The value of the unknown angle measure is x - 3, which is equal to 57° - 3° = 54°.