Given a right triangle where angle $C$ is the right angle, and the measures of angles $A$ and $B$ are approximately $44.8°$ and $45.2°$ respectively, what is the approximate difference between the measures of angle $C$ and angle $A$?

• A. $34.8°$
• B. $45.2°$
• C. $46.3°$
• D. $47.9°$

Answer: (B)

Verified step by step guidance

1. Identify the given angles in the right triangle: angle C is the right angle, so its measure is 90°.
2. Note the measures of angles A and B are approximately 44.8° and 45.2°, respectively.
3. Recall that the difference between two angles is found by subtracting the smaller angle from the larger angle.
4. Calculate the difference between angle C (90°) and angle A (44.8°) using the formula: \(90^{\circ} - 44.8^{\circ}\).
5. Interpret the result as the approximate difference between the measures of angle C and angle A.