What is the measure (in degrees) of the smallest interior angle of a triangle in which the exterior angle measures have the ratio 3:5:7?

Guest Jun 16, 2021

#1**+1 **

All of the exterior angles sum to 360

360 / ( 3+ 5 + 7) = 24

the exterior angles are then 3 * 24 5 * 24 and 7 * 24

24 * 3 = 72 degrees would be the smallest

ElectricPavlov Jun 16, 2021

#3**0 **

Guest is correct....I did not quite read the question corectly.....

Largest exterior angle would have the smallest interior angle

largest exterior angle is 7 x 24 = 168 degrees

Interior + exterior = 180 degrees 180 - 168 = 12 degrees for the smallest INTERIOR angle ! THANX < guest !

ElectricPavlov
Jun 17, 2021