Two adjacent angles of a parallelogram are as 1:2. Find the measures of all the angles of the parallelogram.

Explanation

To find the measures of all the angles of a parallelogram where two adjacent angles are in the ratio of 1:2, we can follow these steps:

### Step 1: Define the Angles
Let the measure of the first angle (Angle A) be \( x \). Since the adjacent angle (Angle B) is in the ratio of 1:2, we can express Angle B as \( 2x \).

### Step 2: Use the Property of Parallelograms
In a parallelogram, the sum of adjacent angles is equal to \( 180^\circ \). Therefore, we can write the equation:
\[
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