how to find the value of the variable?

Question

the polygon is a diamond. and on the obtuse angles are labeled :2a and the acute angles are labeled a. and the sum of the angle is 360 degrees

Answer 1

There are 4 angles measuring  a, a, 2a, 2a.

They sum to 360.

 

a + a + 2a + 2a = 360

6a = 360

a = 60 degrees

2a = 120 degrees

 

You have 2 angles that are 60 degrees

and 2 angles that are 120 degrees

 

60(2) + 120(2) = 120 + 240 = 360