Question

The second angle of a triangle is twice as large as the first, and the third is three times as large as the first. Find the measure of each angle.

Answer 1

Answer:

30°, 60°, 90°

Step-by-step explanation:

Assume the first angle = x°

That means the second angle is 2x° and the third is 3x°.

A triangle's interior angles adds up to 180°

We can create an equation

x + 2x + 3x = 180

6x               = 180

x                  = 30

The first angle is 30°, the second is two time the first so 60°, and the third one is three times the first so 90°.