Question

This question has two parts. First, answer Part A. Then, answer Part B. Part A REGULARITY Angle A and angle B are complementary, and their measures have a difference of 20\deg . What are the measures of the angles? Write the angles from least to greatest measure.

Answer 1

The measures of the two complementary angles are 35 degrees and 55 degrees when the difference between them is 20 degrees.

Step-by-step explanation:

The subject of this question falls under Mathematics, specifically geometry. The problem is asking us to find the measures of two angles (Angle A and Angle B) that are complementary. Complementary angles are angles that add up to 90 degrees. We also know that the difference between the measures of Angle A and Angle B is 20 degrees.

Let's assign the smaller angle as Angle A. Thus, we can use the equation A + B = 90 degrees to express B as (90 - A). Because A and B have a difference of 20 degrees, we can create another equation: B = A + 20. Now we have two expressions for B, which we can set equal to each other to solve for A: 90 - A = A + 20. Solving this equation gives us A = 35 degrees. Substituting A = 35 into the equation A + B = 90 gives us B = 55 degrees. Thus, the measures of angles A and B, from least to greatest, are 35 degrees and 55 degrees.

Learn more about Complementary Angles