Question

In a​ triangle, the measure of the first angle is twicetwice the measure of the second angle. the measure of the third angle is 72 degrees72° more than the measure of the second angle. use the fact that the sum of the measures of the three angles of a triangle is 180degrees° to find the measure of each angle

Answer 1

Write out the information that you can find out from the question; 

Angle 1(a)=2(b) <-- here b represents Angle 2 
Angle 3(c)=72+b 

a+b+c=180 

2b+b+72+b=180 
4b+72=180 
4b=180-72
4b=108 
b=108/4
b=27 

Angle a=2(b)
=2(27)
=54 degrees 

Angle b= 27 degrees 

Angle c=72+27
=99 degrees 

Hope I helped :)