Answer:
first angle: 27 degrees
second angle: 135 degrees
third angle: 18 degrees
Step-by-step explanation:
Represent each angle with a variable x and sum them to 180 degrees, the total angle measure of a triangle. So...
first angle: x
second angle: 5x
third angle: 2x/3
x+5x+2x/3=180 Combine like terms
6x+2x/3=180 Change the 6x terms to have a denominator of 3
18x/3+2x/3=180 Combine like terms
20x/3=180 Cross multiply to solve for x
20x=540 so x=27
Now plug in to get angles:
first angle: 27
second angle: 135
third angle: 18
Check: 27+135+18=180
