Question

The angles of a triangle are 2x°, 3x°, and 4x°. Find the measure of each angle.

Answer 1

40⁰, 60⁰, and 80⁰

Explanation:

We know that in every triangle the angles add up to 180⁰. Remember that?

So those 3 terms have to add up to 180:

2x + 3x + 4x = 180

Combine like terms:

9x = 180

Divide by 9:

x = 20⁰

But we're not done yet, because each of the terms has a multiplier of x, so:

• one angle is 40⁰
• one is 60⁰
• one is 80⁰

Let's check our work: do those add up to 180⁰?

40 + 60 + 80 = 180