**Q:** In a triangle the measure of the largest angle is 3 times the measure of the smallest angle. The measure of the remaining angle is twice the measure of the smallest angle. What is the measure of the longest angle?

**A:** Let x = first angle

Let y = second angle

Let z = 3rd angle

We know that in a triangle, the 3 angles have to add up to 180 degrees:

x+y+z = 180

We also know that:

z = 3x

y = 2x

Plug this information into the other equation:

x + y + z = 180

x + 2x + 3x = 180

6x = 180

x = 30

This means y=2(30)=60 and z=3(30)=90

x=30

y=60

z=90

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