Question

Draw a triangle that its angles add up to exactly 179 degrees.

1. (10 pts) Use the Non-Euclid website to show an example of a triangle in Hyperbolic Geometry: (b) ... with angle sum equal to 179 deg Show a triangle that addes up to 179 degrees in hyperbole geometry.

Answer 1

Drow a triangle that its angle adds up to exactly 179 degree. het x be an angle measured in degree then & is X correctly rounded to the nearest dayree. two angle of a triangle determines the third ut two angles A and B and let A = ata, B = Btb where a, b E (-44) The third angle as 1800 2-0 - Carb) 180° 7-3 is an integer athely is an integer when third angle is rounded the effect depends on how atb is rounded athe & to, 1} - 29 Sunday. The rounded angle sum is only 180° if atbo it is 179 ut atbal ar 181 it atb = 7 if athe (1 ) then ato = 1 so P (9th - 9 = 1 similarly p ath =o) = 3 and I Plat = 1) = %

probabity density function of ath. I Hence Plangle sur = 180°)= 3/4 Plangle suma 179) = P augle sun= 186 ) =