Answer:
1.--> 1. 30
2.72 is a Harshad number
3. 88.00
31.111
88.01
31.117
88.02
31.122
88.03
31.128
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4.The definition of a straight angle is "The measure of angle A, plus the measure of angle B, plus the measure of angle C, equals 180 degrees." "The measure of angle A equals the measure of angle E" is true because the two angles are congruent, alternate interior angles . The same applies to angles C and F
5.By definition, the smaller acute angle of a 3-4-5 triangle is cos−1(45) – Charles Hudgins Sep 20 '20 at 3:44
Those aren't the exact angles. They are arcsin(3/5) and arcsin(4/5) respectively. It is easy to prove for example that they are not rational multiples of π (or the 90 degree angle if you prefer that). – Jyrki Lahtonen Sep 20 '20 at 3:45
arcsin(3/5)=36.869897…∘ and arcsin(4/5)=53.130102…∘. – Eric Towers Sep 20 '20 at 3:55
"can we express the angles in a 3-4-5 triangle in some nicer forms?" With square roots and such? No. With inverse trig functions? Yes, though not in any way that is fundamentally different than just saying "the angles are the angles in a 3-4-5 triangle.
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