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Ridge Trail Angle Decisions worksheet preview

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Ridge Trail Angle Decisions

Solve angle equations using hiking maps and slope sketches, including complementary, supplementary, vertical, and adjacent angles.

Grade 7MathInteractive · Printable

Aligned to7.G.B.5

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 7
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Circle the answer, Short answer

About this worksheet

What students practice

  • Students write and solve equations using complementary, supplementary, vertical, and adjacent angles.
  • Students use angle relationships to find unknown angles in trail maps and elevation sketches.
  • Students explain why supplementary angles do not have to have equal measures.

How to use

Use after introducing angle relationships. Have students write an equation before calculating, then discuss the final reasoning task.

Curriculum

Common Core standard covered

7.G.B.5

Use supplementary, complementary, vertical, and adjacent angles to write and solve equations for an unknown angle.

Preview

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Name Date

Ridge Trail Angle Decisions

Use angle relationships to check trail maps and slope sketches.

Read the Map Markings

Use the stated relationships and labeled measures, not visual estimates. For each calculation, write an equation on scratch paper.

1.
A side trail divides a straight angle on a map. Which equation represents the two labeled angles?180°3x°(x+36)°
  • A. 3x + (x + 36) = 180
  • B. 3x − (x + 36) = 180
  • C. 3x = x + 36
  • D. 3x + (x + 36) = 90
2.
A trail-map grid corner is divided into two angles. Find the measure of the larger angle.90°(x+13)°(2x+5)°

The larger angle measures  °.

3.
Two straight trails cross on a map. Opposite angles at the crossing measure (8x − 19)° and (5x + 23)°. These are vertical angles.

Find x. x =  

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