Question

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

Explanation:

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<reasoning>

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 \(x\).
\[
x = 90^\circ - 64^\circ
\]
\[
x = 26^\circ
\]
</reasoning>

<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.)
</answer>

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"Mathematics",
"Geometry",
"Complementary Angles"
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Answer:

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<reasoning>

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 \(x\).
\[
x = 90^\circ - 64^\circ
\]
\[
x = 26^\circ
\]
</reasoning>

<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.)
</answer>

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"Mathematics",
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"Complementary Angles"
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