Question

In a triangle the measure of the angle $x$, $x + 20$, and $2x$. What is the value $x$?

Answer 1

Hint: According to the angle sum property of triangle the sum of all interior angles of triangle is $180^\circ $ , put the sum of measured angle of the given triangle equal to $180^\circ $.

Complete step by step solution:
Given: The angles of a triangle are given which are $x$, $x + 20$, and $2x$. We have to find the $x$.
Draw a triangle by using the given information.

We know that the sum of interior angles is $180^\circ $.
So, we will add up the measured angles which are $x$, $x + 20$, and $2x$. And put them equal to the sum of interior angles of a triangle.
Mathematically, $x + x + 20 + 2x = 180$.
Now, solve this equation for $x$.
Mathematically, $20 + 4x = 180$
$
  4x = 180 - 20 \\
  4x = 160 \\
$
Now, divide the both sides of the equation by 4.
$
  \dfrac{{4x}}{4} = \dfrac{{160}}{4} \\
  x = 40 \\
$

So, the value of $x$ is 40.

Note: we have given the all measured angle of the triangle in the form of variable $x$ and we applied the angle sum property of the triangle.