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Chapter 3: Q13 (page 80)

If m∠5=m∠6+20, find m∠1

Short Answer

Expert verified

Measurement of ∠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

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

m∠5+m∠6=180

m∠6+20+m∠6=180

2m∠6=180−20

m∠6=1602

m∠6=80

03

Step 3. Find m angle 5

Use given equation to find m∠5

role="math" localid="1637752017677" m∠5=m∠6+20

role="math" localid="1637752027755" m∠5=80+20

role="math" localid="1637752038247" m∠5=100

04

Step 4. Find m angle 1

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

Thus,m∠1=100

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Most popular questions from this chapter

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

Name the two lines and the transversal that form each pair of angles.

and

State the postulate or theorem that justifies each statement.

∠1≅∠5

Draw a diagram of a six-sided box by following the steps below.

Draw a six-sided top. Then draw Draw vertical edges.

An exact copy of the top directly edges dashed

below it. Make invisible

State the postulate or theorem that justifies each statement.

∠6≅∠7
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