What is the relationship between an exterior angle of a triangle and its two remote interior angles?
A. Exterior angle + remote interior angle + remote interior angle = 180°
B. Exterior angle = (remote interior angle + remote interior angle)
C. Exterior angle + remote interior angle + remote interior angle = 90°
D. Exterior angle = (remote interior angle – remote interior angle)
2007-04-06 15:39:23 · 3 answers · asked by phillip l 1 in Science & Mathematics ➔ Mathematics
B. exterior is sum of remote interiors. easy proof. let a,b,c be interior angles, let d be exterior next to c. since d and c are supplementary,
d+c = 180
but also
a+b+c = 180, so
a+b+c = d+c
a+b = d
2007-04-06 15:49:22 · answer #1 · answered by Philo 7 · 0⤊ 0⤋
A
2007-04-06 22:48:51 · answer #2 · answered by Anonymous · 0⤊ 0⤋
B
2007-04-06 22:48:43 · answer #3 · answered by A M 1 · 0⤊ 0⤋