Question

The 3 angles of a triangle measure x, 2x and 3x. What is themeasure of the largest angle?

Answer 1

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:

`\begin{gathered} (6x)/(6)=(180)/(6) \\ \\ x=30 \end{gathered}`

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