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This beach ball has been divided by great circles into congruent isosceles triangles. The angles at A, B, and C are right angles, and the angles at D, E, F, and G are 60 degrees. The acute angles are complementary. Is the same true in sphere geometry? Select one: a. No, these triangles have acute angles of 60°, so their sum is 120°. b. Yes, these triangles have acute angles of 45° as stated in the introduction to this problem, so their sum is 90°, making them complementary. c. Yes, these triangles have acute angles of 60°, so their sum is 120°. d. No, but still all the angles in this example add up to 180°.

This beach ball has been divided by great circles into congruent isosceles triangles. The angles at A, B, and C are right angles, and the angles at D, E, F, and G are 60 degrees. The acute angles are complementary. Is the same true in sphere geometry? Select one: a. No, these triangles have acute angles of 60°, so their sum is 120°. b. Yes, these triangles have acute angles of 45° as stated in the introduction to this problem, so their sum is 90°, making them complementary. c. Yes, these triangles have acute angles of 60°, so their sum is 120°. d. No, but still all the angles in this example add up to 180°.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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This beach ball has been divided by great circles into congruent isosceles triangles. The angles at A, B, and C are right angles, and the angles at D, E, F, and G are 60 degrees. The acute angles are complementary.

Is the same true in sphere geometry?

Select one:
a. No, these triangles have acute angles of 60°, so their sum is 120°.
b. Yes, these triangles have acute angles of 45° as stated in the introduction to this problem, so their sum is 90°, making them complementary.
c. Yes, these triangles have acute angles of 60°, so their sum is 120°.
d. No, but still all the angles in this example add up to 180°.
D AG B
Transcribed Image Text:D AG B
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