The problem asks us to find the missing angle measurement in each set of complementary angles.
Step-by-step reasoning:
1.
Understand the concept: Complementary angles are two angles that add up to exactly 90 degrees.
2.
Identify the knowns and unknowns: In each problem, we are given one angle and need to find the other.
3.
Set up the formula: Since the sum is 90°, we can write:
* Missing Angle = 90° - Given Angle
4.
Calculate for each problem:
*
Problem 1: Given angle is 54.5°.
* Calculation: 90 - 54.5 = 35.5
* Answer: 35.5°
*
Problem 2: Given angle is 37.8°.
* Calculation: 90 - 37.8 = 52.2
* Answer: 52.2°
*
Problem 3: Given angle is 38.8°.
* Calculation: 90 - 38.8 = 51.2
* Answer: 51.2°
*
Problem 4: Given angle is 62.2°.
* Calculation: 90 - 62.2 = 27.8
* Answer: 27.8°
*
Problem 5: Given angle is 66.2°.
* Calculation: 90 - 66.2 = 23.8
* Answer: 23.8°
*
Problem 6: Given angle is 40.3°.
* Calculation: 90 - 40.3 = 49.7
* Answer: 49.7°
*
Problem 7: Given angle is 59.2°.
* Calculation: 90 - 59.2 = 30.8
* Answer: 30.8°
*
Problem 8: Given angle is 48.3°.
* Calculation: 90 - 48.3 = 41.7
* Answer: 41.7°
*
Problem 9: Given angle is 62.4°.
* Calculation: 90 - 62.4 = 27.6
* Answer: 27.6°
*
Problem 10: Given angle is 28.6°.
* Calculation: 90 - 28.6 = 61.4
* Answer: 61.4°
*
Problem 11: Given angle is 39.5°.
* Calculation: 90 - 39.5 = 50.5
* Answer: 50.5°
*
Problem 12: Given angle is 54.7°.
* Calculation: 90 - 54.7 = 35.3
* Answer: 35.3°
Final Answer:
1) 35.5°
2) 52.2°
3) 51.2°
4) 27.8°
5) 23.8°
6) 49.7°
7) 30.8°
8) 41.7°
9) 27.6°
10) 61.4°
11) 50.5°
12) 35.3°
Parent Tip: Review the logic above to help your child master the concept of congruent angles worksheet.
