Respuesta :

Answer:

The answer to your question is x= 81°, y= 68° and z = 99°

Step-by-step explanation:

Process

1.- Find the value of x°

The sum of the internal angles in a triangle equals 180°.

    36° + 63° + x° = 180°

    x° = 180° - 36° - 63°

    x° = 81°

2.- Find the value of z°

x° and z° are supplementary angles. The sum of supplementary angles measures 180°:

    x° + z° = 180°

   81° + z° = 180°

   z° = 180° - 81°

   z° = 99°

3.- Find the value of y°

The sum of internal angles measure 180°

   z° + y° + 13° = 180°

   99° + y° + 13° = 180°

   y° = 180° - 99° - 13°

   y ° = 68°