Answer: The correct option is (A) 45°.
Step-by-step explanation: Given that two angles are congruent and complementary.
We are to find the measure of each angle.
Since the angles are congruent, so their measures must be equal.
Let x° be the measure of each of the two angles.
We know that
the sum of the measurements of two complementary angles is 90°, so we must have
[tex]x^\circ+x^\circ=90^\circ\\\\\Rightarrow 2x^\circ=90^\circ\\\\\Rightarrow 2x=90\\\\\Rightarrow x=\dfrac{90}{2}\\\\\Rightarrow x=45.[/tex]
Thus, the measure of each of the angles is 45°.
Option (A) is CORRECT.
