Question

Find the value of x then find the angle measure of the triangle.

List the angel measures in order from least to greatest

Answer 1

Consider the given triangle,

By angle sum property of a triangle,

"The sum of all the angles of a triangle is 180 degrees".

`40^\circ + 3x ^\circ + x ^\circ = 180^\circ`

`40^\circ + 4x ^\circ = 180^\circ`

`4x ^\circ = 180^\circ - 40^\circ`

`4x ^\circ = 140^\circ`

`x ^\circ = (140)/(4)^\circ`

`x ^\circ = 35^\circ`

So, the angles are:

40 degree and 35 degree

and
`3x^\circ = 3 * 35^\circ = 105^\circ`

So, the angle measures in order from least to greatest is:

`35^\circ , 40^\circ , 105^\circ`.