Given the three angles of a triangle:
x, 2x and 3x.
Let's find the measure of the largest angle.
Apply the Triangle Angle Sum Theorem which states that the sum of interior angles of a triangle is 180 degrees.
Thus, we have the equation:
x + 2x + 3x = 180
Let's solve for x.
x + 2x + 3x = 180
6x = 180
divide both sides of the equation by 6:
[tex]\begin{gathered} \frac{6x}{6}=\frac{180}{6} \\ \\ x=30 \end{gathered}[/tex]Now, let's determine the measure of each angle by substituting 30 for x.
We have:
x = 30 degrees
2x = 2(30) = 60 degrees
3x = 3(30) = 90 degrees
The largest angle is 90 degrees.
Therefore, the measure of the largest angle is 90 degrees
ANSWER:
90 degrees
