Question

If the angle of a triangle are in the ratio 1:2:3, determine the 3 angles

Answer 1

`\displaystyle\bf \angle1:\angle2:\angle3=x:2x:3x\\\\x+2x+3x=180\\6x=180\\x=30 \\\angle3=3x=30\cdot3=90 \\\\Answer: \angle3=90^o`

Answer 2

The angles are : 30° , 60° , 90°

Explanation:

Sum of angles in a triangle = 180°

Given: the angles are in the ratio = 1 : 2 : 3

Sum of the ratio = 6

Therefore , the angles are

`first \ angle = (1)/(6) * 180^\circ = 1 * 30 = 30^\circ\\\\second \ angle = (2)/(6) * 180^\circ = 2 * 30 = 60^\circ\\\\third \ angle = (3)/(6) * 180^\circ = 3 * 30 = 90^\circ`