A coach designed a new agility course with cones connected by painted guide lines, but several angle labels had faded before the first practice. Tara and Emek examined the layout to restore the missing values. At one turn, a 42° angle formed a right angle with an unlabeled angle, so they determined the missing complementary angle was 48°. At another station, a 137° angle lay on a straight line, so they found its supplementary angle to be 43°. After checking every angle, they confirmed the course matched the coach's training plan, and practice began without delay.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Complementary angles add up to 90°.
Tara checks the first turn of the training course. Which pair of angles is complementary?
42° and 43°42° and 48°48° and 43°137° and 43°Correct! 42° + 48° = 90°.
Check which pair has a total of 90°.
Next🎉 Congrats! You got this question!
Hint
Subtract the given angle from 90°.
The coach adds another station where one angle measures 58° and forms a right angle with another angle. What is the measure, in degrees, of the missing complementary angle?
Correct! The missing complementary angle is 32°.
Remember that complementary angles always total 90°.
Next🎉 Congrats! You got this question!
Hint
Supplementary angles form a straight line with a total of 180°.
A student says that the supplementary angle to 137° is 53°. What is the best response?
The student is incorrect because 137° + 43° = 180°.The student is correct because 137° + 53° = 180°.The student is incorrect because supplementary angles add to 90°.The student is correct because 53° is complementary to 137°.Correct! The supplementary angle is 43° because 180° - 137° = 43°.
Check the total for supplementary angles and recalculate the missing angle.
Next🎉🎉🎉🎉🎉🎉🎉🎉
🎉 Congrats! You finished this challenge set!
