Question

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.

Answer 1

the measure of the smallest angle is 15 degrees, the second angle is 30 degrees, and the third angle is 135 degrees

Answer 2

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°.