Question

question 1 - 10
angle abc and angle def are complementary.
which pair of numbers are possible measures for the two angles?
31° and 60°
45° and 45°
50° and 60°
70° and 15°

Explanation:

Step1: Recall the definition of complementary angles

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

Step2: Check each pair of angles

• For \(31^{\circ}\) and \(60^{\circ}\): \(31 + 60=91

eq90\)

• For \(45^{\circ}\) and \(45^{\circ}\): \(45 + 45 = 90\)
• For \(50^{\circ}\) and \(60^{\circ}\): \(50+60 = 110

eq90\)

• For \(70^{\circ}\) and \(15^{\circ}\): \(70 + 15=85

eq90\)

Answer:

\(45^{\circ}\) and \(45^{\circ}\)