Grade 12 Angle Operations Worksheet
This worksheet focuses on advanced angle operations, including angle addition, subtraction, multiplication, and division, as well as working with angles in different measurement systems (degrees, radians).
Includes
Standards
Topics
Angle Operations
Name:
Date:
Score:
Read each question carefully and perform the indicated angle operations. Show all your work.
1. Given angles A = 75° 30' 45'' and B = 32° 50' 20''. Calculate A + B.
2. Given angles C = 120° 15' 10'' and D = 45° 30' 50''. Calculate C - D.
3. If an angle measures 25° 40' 15'', then 3 times this angle is .
4. If an angle measures 180° 45' 30'', then one-half of this angle is .
5. The sum of two acute angles is always an obtuse angle.
True
False
6. A straight angle measures exactly 180 degrees or π radians.
True
False
7. What is the measure of an angle that is complementary to an angle of 62°?
18°
28°
118°
152°
8. Convert 3π/4 radians to degrees.
45°
90°
135°
270°
9. An angle measures (2x + 10)°. Its supplementary angle measures (3x - 5)°. Find the value of x and the measure of each angle.
10. Two angles are in the ratio 2:3. If they are complementary, find the measure of each angle.