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

Answer 1

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.