Answer: [tex]30^{\circ},\ 60^{\circ},\ 90^{\circ}[/tex]
Step-by-step explanation:
We know that the sum of measure of all the angles of a triangle is 180°.
Given : The measure of the angles of a triangle are x, 2x, and 3x.
Then, the sum of all the angle will be given by :-
[tex]x+2x+3x=180^{\circ}\\\\\Rightarrow\ 6x=180^{\circ}\\\\\Rightarrow\ x=\dfrac{180^{\circ}}{6}=30^{\circ}[/tex]
Then, the measures of angles of the triangle will be : [tex]30^{\circ},\ 2(30^{\circ}),\ 3(30^{\circ})[/tex]
i.e. [tex]30^{\circ},\ 60^{\circ},\ 90^{\circ}[/tex]
