Question

If two sides of two adjacent acute angles are perpendicular, then the angles are complementary. Write a two-collumn proof

Answer 1

If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.

Step-by-step explanation:

In a two-column proof, we can show that if two sides of two adjacent acute angles are perpendicular, then the angles are complementary:

1. Let angle A and angle B be the two adjacent acute angles.
2. Given that the two sides of angle A and angle B are perpendicular, we have a right triangle.
3. In a right triangle, the sum of the two non-right angles is 90 degrees.
4. Therefore, angle A and angle B are complementary angles.