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If m∠4=2m∠3find m∠6

Short Answer

Expert verified

Measurement of∠6is 60

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 3

∠3and ∠4forms linear pair, so sum of these angles is 180

m∠3+m∠4=180m∠3+2m∠3=180

3m∠3=180

m∠3=1803

m∠3=60

03

- Find m angle 6

∠3and data-custom-editor="chemistry" ∠6forms a pair of alternate interior angles, so measurement of these angles are equal. m∠3=m∠6

Thus, m∠6=60

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