Uso appcompat v22.1.0 en mi aplicación y uso la barra de herramientas. Todo estaba bien cuando usoTheme.AppCompat.Light.NoActionBar. Cuando empiezo a implementarAlertDialog, produce un error como este:

java.lang.IllegalStateException: You need to use a Theme.AppCompat theme (or descendant) with this activity.
        at android.support.v7.app.AppCompatDelegateImplBase.onCreate(AppCompatDelegateImplBase.java:113)
        at android.support.v7.app.AppCompatDelegateImplV7.onCreate(AppCompatDelegateImplV7.java:146)
        at android.support.v7.app.AppCompatDialog.<init>(AppCompatDialog.java:47)
        at android.support.v7.app.AlertDialog.<init>(AlertDialog.java:92)
        at android.support.v7.app.AlertDialog$Builder.create(AlertDialog.java:882)
        at com.ramabmtr.map.findingmoo.MainActivity.onOptionsItemSelected(MainActivity.java:216)
        at android.app.Activity.onMenuItemSelected(Activity.java:2572)
        at android.support.v4.app.FragmentActivity.onMenuItemSelected(FragmentActivity.java:353)
        at android.support.v7.app.AppCompatActivity.onMenuItemSelected(AppCompatActivity.java:144)
        at android.support.v7.internal.view.WindowCallbackWrapper.onMenuItemSelected(WindowCallbackWrapper.java:99)
        at android.support.v7.internal.view.WindowCallbackWrapper.onMenuItemSelected(WindowCallbackWrapper.java:99)
        at android.support.v7.internal.app.ToolbarActionBar$2.onMenuItemClick(ToolbarActionBar.java:74)
        at android.support.v7.widget.Toolbar$1.onMenuItemClick(Toolbar.java:164)
        at android.support.v7.widget.ActionMenuView$MenuBuilderCallback.onMenuItemSelected(ActionMenuView.java:740)
        at android.support.v7.internal.view.menu.MenuBuilder.dispatchMenuItemSelected(MenuBuilder.java:802)
        at android.support.v7.internal.view.menu.MenuItemImpl.invoke(MenuItemImpl.java:153)
        at android.support.v7.internal.view.menu.MenuBuilder.performItemAction(MenuBuilder.java:949)
        at android.support.v7.internal.view.menu.MenuBuilder.performItemAction(MenuBuilder.java:939)
        at android.support.v7.widget.ActionMenuView.invokeItem(ActionMenuView.java:598)
        at android.support.v7.internal.view.menu.ActionMenuItemView.onClick(ActionMenuItemView.java:139)
        at android.view.View.performClick(View.java:4084)
        at android.view.View$PerformClick.run(View.java:16989)
        at android.os.Handler.handleCallback(Handler.java:615)
        at android.os.Handler.dispatchMessage(Handler.java:92)
        at android.os.Looper.loop(Looper.java:137)
        at android.app.ActivityThread.main(ActivityThread.java:4812)
        at java.lang.reflect.Method.invokeNative(Native Method)
        at java.lang.reflect.Method.invoke(Method.java:511)
        at com.android.internal.os.ZygoteInit$MethodAndArgsCaller.run(ZygoteInit.java:792)
        at com.android.internal.os.ZygoteInit.main(ZygoteInit.java:559)
        at dalvik.system.NativeStart.main(Native Method)

Basado en ese error, cambio mi tema aTheme.AppCompat y pon esto:

<item name="windowActionBar">false</item>
<item name="windowNoTitle">true</item>

a mi tema Pero produce el mismo error.

Style.xml (antiguo)

<resources>
<style name="AppTheme" parent="Theme.AppCompat.Light.NoActionBar">
    <item name="colorPrimary">@color/colorPrimary</item>
    <item name="colorPrimaryDark">@color/colorPrimaryDark</item>
</style>
</resources>

Style.xml (nuevo)

<resources>
<style name="AppTheme" parent="Theme.AppCompat">
    <item name="windowActionBar">false</item>
    <item name="windowNoTitle">true</item>
    <item name="colorPrimary">@color/colorPrimary</item>
    <item name="colorPrimaryDark">@color/colorPrimaryDark</item>
</style>
</resources>

¿¿Alguien sabe como arreglarlo??

MainActivity.java

package com.ramabmtr.map.findingmoo;

import android.content.DialogInterface;
import android.graphics.Typeface;
import android.os.Bundle;
import android.support.v4.widget.DrawerLayout;
import android.support.v7.app.ActionBarDrawerToggle;
import android.support.v7.app.AlertDialog;
import android.support.v7.app.AppCompatActivity;
import android.support.v7.widget.RecyclerView;
import android.support.v7.widget.Toolbar;
import android.view.View;
import android.widget.TextView;
import android.widget.Toast;

public class MainActivity extends AppCompat,Activity {

private Toolbar toolbar;
private TextView toolbarTitle;

@Override
protected void onCreate(Bundle savedInstanceState) {
    super.onCreate(savedInstanceState);
    setContentView(R.layout.activity_main);

    toolbar = (Toolbar) findViewById(R.id.toolbar);
    setSupportActionBar(toolbar);
    getSupportActionBar().setDisplayShowTitleEnabled(false);

    Typeface myTypeface = Typeface.createFromAsset(getAssets(), "fonts/panpizza.ttf");
    toolbarTitle = (TextView) findViewById(R.id.toolbar_title);
    toolbarTitle.setTypeface(myTypeface);

    AlertDialog.Builder builder = new AlertDialog.Builder(getApplicationContext());
    builder.setTitle(R.string.filter_title);
    builder.setMessage("test");
    builder.setPositiveButton(R.string.ok_button, new DialogInterface.OnClickListener() {
        @Override
        public void onClick(DialogInterface dialog, int id) {
            dialog.dismiss();
        }
    });
    builder.setNegativeButton(R.string.cancel_button, new DialogInterface.OnClickListener() {
        @Override
        public void onClick(DialogInterface dialog, int id) {
            dialog.dismiss();
        }
    });
    AlertDialog dialog = builder.create();
    dialog.show();
}
}