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Chapter 3: Q13 (page 80)

If m鈭�5=m鈭�6+20, find m鈭�1

Short Answer

Expert verified

Measurement of 鈭�1 is 100

Step by step solution

01

Step 1. Observations from figure

  • Arrowheads are shown on lines Iand P, so these lines are parallel
  • Line tis transversal to the parallel lines IandP
02

Step 2. Find m angle 6

鈭�5and 鈭�6forms linear pair, so sum of these angles is 180

m鈭�5+m鈭�6=180

m鈭�6+20+m鈭�6=180

2m鈭�6=180鈭�20

m鈭�6=1602

m鈭�6=80

03

Step 3. Find m angle 5

Use given equation to find m鈭�5

role="math" localid="1637752017677" m鈭�5=m鈭�6+20

role="math" localid="1637752027755" m鈭�5=80+20

role="math" localid="1637752038247" m鈭�5=100

04

Step 4. Find m angle 1

鈭�5and 鈭�1forms a pair of corresponding angles, so measurement of these angles are equal.m鈭�1=m鈭�5

Thus,m鈭�1=100

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Most popular questions from this chapter

Copy what is shown for Theorem 3-3 on page 79. Then write a proof in two-column form.

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