Question

the measure of an angle is 34.6°. 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, \(34.6^\circ + x = 90^\circ\).

Step2: Solve for \(x\)

Subtract \(34.6^\circ\) from both sides: \(x = 90^\circ - 34.6^\circ = 55.4^\circ\).

Answer:

\(55.4\)