Math Practice Topic: Angle Measurements 2

Description: Solve problems involving angle relationships: vertical angles, parallel lines cut by a transversal, and angles around a point.

Adaptive Learning Progression: The figures involved become more complex.

Sample Levels (out of 4)

Solve for the missing angle(s).
Figures are not drawn to scale.

1.
In the figure below, two lines intersect to form ∠A,
B, ∠C, and ∠D.
If m∠C = 55°, find the missing angles.
    m∠A = °
    m∠B = °
    m∠D = °
2.
In the figure below, two lines intersect to form ∠A,
B, ∠C, and ∠D.
If m∠B = 136°, find the missing angles.
    m∠A = °
    m∠C = °
    m∠D = °

Solve for the missing angle(s).
Figures are not drawn to scale.

1.
In the figure below, lines g and h are parallel, and line m is a transversal.
If m∠2 = 85°, what is m∠7?      °
2.
In the figure below, lines g and h are parallel, and line m is a transversal.
If m∠8 = 74°, what is m∠4?      °
3.
In the figure below, lines g and h are parallel, and line m is a transversal.
If m∠1 = 126°, what is m∠8?      °
4.
In the figure below, lines g and h are parallel, and line m is a transversal.
If m∠4 = 94°, what is m∠8?      °

Solve for the missing angle(s).
Figures are not drawn to scale.

1.
If m∠C = 35° and m∠A + m∠B + m∠E = 240°, what is m∠D?   °
2.
If all 4 angles are equal, what is the measure of one angle?   °
3.
If all 5 angles are equal, what is the measure of one angle?   °

Solve for the missing angle(s).
Figures are not drawn to scale.

1.
In the figure below, lines g and h are parallel, and line m is a transversal.
If m∠8 = 42°, find the missing angles.
  m∠1 = °
  m∠3 = °
  m∠6 = °
2.
If m∠B = m∠E and m∠A + m∠C + m∠D = 212°, what is m∠E?   °
3.
In the figure below, three lines intersect to form a triangle with interior angles W, F, and D.
If m∠W = 80° and m∠F = 60°, what is m∠C?   °

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