Question

the measure of the complement of a \\(64^{\circ}\\) angle is \\(\square^{\circ}\\).
(simplify your answer. type an integer or a decimal.)

Explanation:

Define complementary angles

Complementary angles are two angles whose measures add up to exactly \(90^\circ\).

Set up the equation

Let \(x\) represent the measure of the complement of the \(64^\circ\) angle.

$$ x + 64^\circ = 90^\circ $$

Solve for the unknown angle

Subtract \(64^\circ\) from both sides of the equation to find the value of \(x\).

$$ x = 90^\circ - 64^\circ $$

$$ x = 26^\circ $$

Answer:

The measure of the complement of a \(64^\circ\) angle is <blank>26</blank>\(^\circ\).
(Simplify your answer. Type an integer or a decimal.)