Math Practice Topic: Solving For Angles

Description: Algebraic word problems involving angles using proportions, complementary angles, and supplementary angles.

Adaptive Learning Progression: Lots of variety throughout the levels.

Sample Levels (out of 4)

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 =

About Us | FAQ | Contact Us | Sales Opportunities | Terms of Use | Privacy Policy