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