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°.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.2: Addition On A Number Line
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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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