Question

The measure of the angles of a triangle are x, 2x, and 3x.What

are the measures of the angles of the triangle ?

Answer 1

Answer:
`30^(\circ),\ 60^(\circ),\ 90^(\circ)`

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 :-

`x+2x+3x=180^(\circ)\\\\\Rightarrow\ 6x=180^(\circ)\\\\\Rightarrow\ x=(180^(\circ))/(6)=30^(\circ)`

Then, the measures of angles of the triangle will be :
`30^(\circ),\ 2(30^(\circ)),\ 3(30^(\circ))`

i.e.
`30^(\circ),\ 60^(\circ),\ 90^(\circ)`