9514 1404 393
Answer:
WHOOSIER COACH
Step-by-step explanation:
Linear pairs are supplementary. Vertical angles are congruent. An angle is the sum of its parts.
(a) C: supplementary to 138°, 180° -138° = 42°
(b) O: congruent to 138°
(c) R: supplementary to 32°, 180°-32° = 148°
(d) H: congruent to 32°
(e) S: complementary to 28°, 90° -28° = 62°
(f) O: supplementary to 122°, 180° -122° = 58°
(g) W: congruent to 122°
(h) C: supplementary to 28°, 180° -28° = 152°
(i) I: supplementary to 60°, 180° -60° = 120°
(∠TSW) E: supplementary to a right angle: 180° -90° = 90°
(∠TSU) O: half the complement of 20°, (90° -20°)/2 = 35°
(∠USW) H: complement of ∠TSU, 90° -35° = 55°
(∠RSV) A: supplement of ∠VSW = 180° -35° = 145°
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The desired order of the letters corresponds to the sequence of angles ...
122°, 55°, 58°, 35°, 62°, 120°, 90°, 148°, 71°, 152°, 138°, 145°, 42°, 32°
WHOOSIER_COACH
