Before the regional soccer championship, Tara and Emek helped repaint several faded boundary markings on the field. One corner guide showed a 35° angle next to a right angle, so they calculated the missing complementary angle as 55° to complete the marking. Along a sideline, another guide showed a 118° angle formed by a straight line. They found its supplementary angle to be 62° and finished the boundary correctly. After checking every measurement, the field matched the official layout, and the tournament began on schedule.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Complementary angles add to 90°.
At the field corner, one angle measures 35°. Which equation correctly finds its complementary angle?
35 + 35 = 70180 - 35 = 14590 + 35 = 12590 - 35 = 55Correct! Subtracting 35° from 90° gives 55°.
Remember that complementary angles have a total measure of 90°.
Next🎉 Congrats! You got this question!
Hint
Supplementary angles add to 180°.
Tara finds another faded marking along a straight sideline. One angle measures 127°. What is the measure, in degrees, of its supplementary angle?
Correct! The supplementary angle measures 53°.
Subtract 127° from the 180° angle formed by a straight line.
Next🎉 Congrats! You got this question!
Hint
Subtract the smaller angle from the larger angle.
Which statement correctly compares the two missing angles from the story, 55° and 62°?
The two angles are equal.The 55° angle is 7° greater than the 62° angle.The 62° angle is 7° greater than the 55° angle.The 62° angle is 17° greater than the 55° angle.Correct! 62° - 55° = 7°.
Compare the two angle measures by finding their difference.
Next🎉🎉🎉🎉🎉🎉🎉🎉
🎉 Congrats! You finished this challenge set!
