Grade 12 Angle Rules Worksheet

This worksheet covers advanced angle rules, including angles in polygons, circles, and parallel lines, suitable for Grade 12 mathematics students.

Grade 12 Math GeometryAngle Rules

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Includes

Multiple ChoiceFill in the Blanks3 Short AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.HSG.CO.C.9CCSS.MATH.CONTENT.HSG.C.A.2CCSS.MATH.CONTENT.HSG.GPE.B.7

Topics

anglesgeometrygrade 12mathpolygonscirclesparallel lines

9 sections · Free to use · Printable

Grade 12 Angle Rules

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. Show all work where applicable.

1. In the diagram below, lines AB and CD are parallel. If ∠AEF = 65°, what is the measure of ∠EFD?

65°

115°

25°

180°

2. The sum of the interior angles of a pentagon is degrees.

3. An angle inscribed in a semicircle is always a angle.

4. Find the value of x in the following diagram where the lines are parallel. Explain your reasoning.

5. The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.

True

False

Match each angle rule with its definition or property.

6. Vertically opposite angles

a. Add up to 180°

7. Angles on a straight line

b. Are equal

8. Corresponding angles (parallel lines)

c. Are supplementary

9. A regular polygon has an interior angle of 144°. Calculate the number of sides of the polygon.

10. In the circle with center O, points A, B, C are on the circumference. If ∠AOC = 110°, find the measure of ∠ABC.