Question

Find the value of a. then find the angle measures of the polygon


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Answer 1

Answer is 2a=120 and a=60
2a+2a+a+a=360
6a=360
a=60

2a
2(60)=120

Answer 2

The value of a in the polygon is 60°

Using the parameters given ;

• sum of angles in the quadrilateral = 360°

The value of the four angles are ;

• 2a , 2a, a , a

To solve , We take the sum of the interior values and equate to 360°

2a + 2a + a + a = 360

6a = 360

divide by 6 to isolate a

6a/6 = 360/6

a = 60

Hence, the value of a is 60°