Question

Find the value of a. Then find the angle measures of the quadrilateral.

Answer 1

To solve this problem you must apply the proccedure shown below:

1. You know that the sum of the angles is $360$ degrees. Therefore, you must sum them and solve for $a$:

$a+a+2a+2a=360$

$a=60$ degrees

2. Therefore, the angles are:

$a=60$ degrees

$2a=2(60)=120$ degrees

The answers are:

$a=60$ degrees

$60$ degrees, $60$ degrees, $120$ degrees, $120$ degrees