The second angle in a triangle is one third as the first. the third angle is two thirds as large as the first angle. plz find the angle measures (plz show work). for your .

So,

We know that the sum of the angles in a triangle will always equal 180°.

x + y + z = 180





We can substitute 1/3x for y and 2/3x for z in the first equation.



Collect Like Terms.
2x = 180

Divide both sides by 2.
x = 90

Substitute in the second equation.



y = 30

Substitute in the third equation.



z = 60

Let's check our values.

x = 90
y = 30
z = 60

x + y + z = 180?

90 + 30 + 60 = 180?

90 + 90 = 180?

180 = 180 YES!

This checks.

The first angle is 90°, the second angle is 30°, and the third angle is 60°.