Some authors refer to the " High school exterior angle theorem " as the " strong form " of the exterior angle theorem and " Euclid's exterior angle theorem " as the " weak form ".
32.
The area of a spherical triangle is proportional to its excess, by Girard's theorem the amount by which its interior angles add up to more than 180? which is equal to the amount by which its exterior angles add up to less than 360?
33.
In several high school treatments of geometry, the term " exterior angle theorem " has been applied to a different result, namely the portion of Proposition 1.32 which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
34.
In several high school treatments of geometry, the term " exterior angle theorem " has been applied to a different result, namely the portion of Proposition 1.32 which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
35.
Adults are cupreous-brown, the forewings with two black points at the base and with a black spot in the disc near the base and a white transverse line at five-sixths of the length, traversed by an interrupted black streak, and forming an acute exterior angle, which emits a streak towards the border.
36.
I only added the formula for the concave angles, and its complement, and the latter would be your " exterior angle where lines from two points meet " ( but only if the two points are adjacent ) : & pi; ( 1-2 ( k-1 ) / n ) . talk ) 01 : 30, 16 September 2014 ( UTC)
37.
(i ) as depicted ( which is to be proven ), or ( ii ) coincident with ( which would mean the isosceles triangle had two right angles as base angles plus the vertex angle, which would violate the triangle postulate ), or lastly, ( iii ) interior to the right triangle between points and ( in which case angle is an exterior angle of a right triangle and therefore larger than, meaning the other base angle of the isosceles triangle also is greater than and their sum exceeds in violation of the triangle postulate ).
