Find the values of x, y,and z. the diagram is not to scale.

y = 180 - 63-36-13 = 68 degrees

Z = 180-68-13 = 99 degrees

X = 180 -63-36 = 81 degrees

The value of x, y and z is 81°, 68° and 99° respectively.

Step-by-step explanation:

Consider the provided figure.

As we know the sum of all interior angles in a triangle is 180°.

Therefore,

36°+63°+x°=180°

99°+x°=180°

x°=180°-99°

x°=81°

Now find the value of z°

Angles on one side of a straight line is always equals to 180°.

Thus,

x°+z°=180°

81°+z°=180°

z°=180°-81°

z°=99°

Now find the value of y°

The sum of all interior angles in a triangle is 180°.

13°+z°+y°=180°

Substitute the value of z° in above equation.

13°+99°+y°=180°

112°+y°=180°

y°=180°-112°

y°=68°

Hence, the value of x, y and z is 81°, 68° and 99° respectively.