Determine which quarter angle is angle A if: a) A = 179 degrees; b) A = 325 degrees;
Determine which quarter angle is angle A if: a) A = 179 degrees; b) A = 325 degrees; c) A = -150 degrees; d) A = -10 degrees; e) A = 800 degrees; f) A = 10,000 degrees
A) A = 179 °.
One degree was not enough to the size of the unfolded angle, respectively, angle A is the angle of the second quarter.
B) A = 325 °.
The angle is more than 270 °, but does not reach 360 °, which means it is located in 4 quarters.
B) A = -150 °.
A = -90 ° – 60 ° – you can expand the angle in this way for clarity. The corner will be 3 quarters.
D) A = -10 ° – angle of 4 quarters.
E) A = 800 °. Let’s remove 2 full turns and get:
800 ° – 720 ° = 80 ° is the angle of the first quarter.
E) 10000 °. Let’s remove the full 27 revolutions and get:
10000 ° – 9720 ° = 280 ° = 270 ° + 10 °. Angle A belongs to the fourth quarter.