8th Grade Interior and Exterior Angles in Geometric Figures - Worksheet & Printable

If b = 40o and c = 30o, what is the measure of d?

A

35o

B

70o

C

110o

D

145o

Standard: 8.G.A.5

Domain: Geometry

Theme: Understand congruence and similarity using physical models, transparencies, or geometry software

Description: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the three angles appear to form a line, and give an argument in terms of transversals why this is so.

The figure shows two parallel lines intersected by a third line. Which of the following angles are equal in measure?

A

a and b only

B

a and c only

C

b and c only

D

a, b, and c

Standard: 8.G.A.5

Domain: Geometry

Theme: Understand congruence and similarity using physical models, transparencies, or geometry software

Description: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the three angles appear to form a line, and give an argument in terms of transversals why this is so.

The figure shows two parallel lines intersected by a third line. If a = 55o, what is the value of b?

A

35o

B

45o

C

55o

D

125o

Standard: 8.G.A.5

Domain: Geometry

Theme: Understand congruence and similarity using physical models, transparencies, or geometry software

Description: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the three angles appear to form a line, and give an argument in terms of transversals why this is so.

The figure shows two parallel lines intersected by a third line. If b = 60o, what is the value of c?

A

30o

B

60o

C

90o

D

120o

Standard: 8.G.A.5

Domain: Geometry

Theme: Understand congruence and similarity using physical models, transparencies, or geometry software

Description: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the three angles appear to form a line, and give an argument in terms of transversals why this is so.

If a triangle has one 90o angle, which of the following could be the measures of the other two angles in the triangle?

A

20o and 80o

B

25o and 65o

C

30o and 70o

D

55o and 55o

Standard: 8.G.A.5

Domain: Geometry

Theme: Understand congruence and similarity using physical models, transparencies, or geometry software

Description: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the three angles appear to form a line, and give an argument in terms of transversals why this is so.


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