Question

angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°

Explanation:

Step1: Define complementary angles

Complementary angles sum to \(90^{\circ}\). Let \(\angle1 = \angle2=x\) (since they are congruent).

Step2: Set up equation

\(x + x=90^{\circ}\), which simplifies to \(2x = 90^{\circ}\).

Step3: Solve for \(x\)

Divide both sides by \(2\): \(x=\frac{90^{\circ}}{2}=45^{\circ}\).

Answer:

\(45^{\circ}\) (the second option)