Question

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

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".

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

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

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

$4x ^\circ = 140^\circ$

$x ^\circ = \frac{140}{4}^\circ$

$x ^\circ = 35^\circ$

So, the angles are:

40 degree and 35 degree

and $3x^\circ = 3 \times 35^\circ = 105^\circ$

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

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