Question

if a statement is given that angle a and angle b are complementary, which fact would be needed to prove that this geometric relationship is true? the two angles are equal to each other. the sum of the angles is 90°. the sum of the angles is 180°. the angles are vertical angles.

Explanation:

Complementary angles are defined as two angles whose sum is \(90^{\circ}\).

• If two angles are equal (\(A = B\)), it doesn't necessarily mean they are complementary (\(A + B=90^{\circ}\)). For example, if \(A = B = 50^{\circ}\), \(A + B=100^{\circ}

eq90^{\circ}\).

• If the sum of the angles is \(180^{\circ}\), they are called supplementary angles, not complementary.
• Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines. Vertical angles are equal in measure, but this has no relation to the sum being \(90^{\circ}\) (complementary).

Answer:

The sum of the angles is \(90^{\circ}\)