Find the values of the following angles to the nearest degree.

1.

A triangle has three angles labeled x, y, and z. The
ratio of x to y is 8:15. The
ratio of y to z is 15:22.
What is the value of each of the angles, x, y, and z? x =
y =
z =

2.

A triangle has three angles labeled x, y, and z. The
ratio of x to y is 43:1. The
ratio of y to z is 1:1.
What is the value of each of the angles, x, y, and z? x =
y =
z =

Find the values of the following angles to the nearest degree.

1.

A triangle has three angles labeled x, y, and z.
z and x are complementary angles and the ratio
of z to x is 1:4.
What is the value of each of the angles, x, y, and z? x =
y =
z =

2.

A triangle has three angles labeled x, y, and z.
x and y are complementary angles and the ratio
of x to y is 12:3.
What is the value of each of the angles, x, y, and z? x =
y =
z =

Find the values of the following angles to the nearest degree.

1.

Angles a, b, and c make up one triangle. Angles x, y, and
z make up another triangle. Angles c and x are supplementary.
Furthermore, a = 37 degrees, b = 53 degrees, and the ratio of x to y
is 2:1.
What is the value of c, x, y, and z? c =
x =
y =
z =

2.

Angles a, b, and c make up one triangle. Angles x, y, and
z make up another triangle. Angles c and x are supplementary.
Furthermore, a = 18 degrees, b = 54 degrees, and the ratio of x to y
is 2:1.
What is the value of c, x, y, and z? c =
x =
y =
z =

Find the values of the following angles to the nearest degree.

1.

A triangle has three angles labeled x, y, and z.
x and y are complementary angles and the ratio
of x to y is 4:2.
What is the value of each of the angles, x, y, and z? x =
y =
z =

2.

Angles a, b, and c make up one triangle. Angles x, y, and
z make up another triangle. Angles c and x are supplementary.
Furthermore, a = 87 degrees, b = 3 degrees, and the ratio of x to y
is 10:1.
What is the value of c, x, y, and z? c =
x =
y =
z =

3.

A triangle has three angles labeled x, y, and z. The
ratio of x to y is 18:14. The
ratio of y to z is 14:4.
What is the value of each of the angles, x, y, and z? x =
y =
z =

4.

A triangle has three angles labeled x, y, and z.
y and z are complementary angles and the ratio
of y to z is 5:1.
What is the value of each of the angles, x, y, and z? x =
y =
z =