Question

the measure of an angle is 46.8°. what is the measure of its complementary angle?
□°
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Explanation:

Step1: Recall complementary angle definition

Complementary angles sum to \(90^\circ\). Let the complementary angle be \(x\). So, \(46.8^\circ + x = 90^\circ\).

Step2: Solve for \(x\)

Subtract \(46.8^\circ\) from both sides: \(x = 90^\circ - 46.8^\circ\). Calculate \(90 - 46.8 = 43.2\). So \(x = 43.2^\circ\).

Answer:

\(43.2\)