One angle in a triangle measures twice the smallest angle, whereas the largest angle is nine times the smallest angle. find the measures of all three angles.
Let the smallest angle be x, one angle = 2x largest angle = 9x x + 2x + 9x = 180° (angles in a triangle) 12x = 180° x = 15° 2x = 15° x 2 = 30° 9x = 15° x 9 = 135° The smallest angle is 15°. The one angle is 30°. The largest angle is 135°.
