In a figure, one complementary angle has a measure of%C2%A0 36° and the other has a measure of%C2%A0 (x−3)° . What is the value of x and the value of the unknown angle measure
The sum of complementary angles is 90 degrees.
Let's use this information to set up an equation:
36° + (x-3)° = 90°
Combine like terms:
x-3 + 36 = 90
Simplify the equation:
x + 33 = 90
Subtract 33 from both sides:
x = 57
Therefore, the value of x is 57 degrees.
To find the value of the unknown angle measure (x-3), substitute the value of x into the equation:
x-3 = 57-3 = 54
So, the value of the unknown angle measure is 54 degrees.