What you want is a relative layout. An example with some comments is as follows
We start with this RelativeLayout as a parent. That can wrap all content.
In that parent we put 2 elements, the button and the editText from your example.
<?xml version="1.0" encoding="utf-8"?>
<RelativeLayout xmlns:android="http://schemas.android.com/apk/res/android"
android:layout_width="match_parent"
android:layout_height="match_parent" >
We start by placing the Button element on the top right corner. That is what the the layout_alignParentRight and layout_alignParentTop are all about. Again this is the biggest element so we will let it wrap all content using wrap_content for both height and width.
<Button
android:id="@+id/Button1"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:layout_alignParentRight="true"
android:layout_alignParentTop="true"
android:text="some_text" />
Now the second element, the editText we want to align to the left side of our previous element, use the id reference with the layout_toLeftOf parameter to accomplish just that.
<EditText
android:id="@+id/EditText1"
android:layout_width="match_parent"
android:layout_height="wrap_content"
android:layout_toLeftOf="@+id/Button1"
android:hint="some_hint"
android:inputType="textCapWords" />
Close the RelativeLayout and now render this to see what you probably got at yourself already.
</RelativeLayout>
Since the editText is smaller in height it won't match the Button it's placed next to. Solution for that is to add some more layout parameters. The magic ones you're looking for are layout_alignBottom and layout_alignParentTop.
android:layout_alignBottom="@+id/Button1"
android:layout_alignParentTop="true"
Add these 2 and you get your layout right.