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If m1=130what are the measures of the other numbered angels?

Short Answer

Expert verified

Measures of numbered angles are

m2=50;m3=50;m4=130;m5=130;m6=50;m7=50;andm8=130

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 2

1and 2forms linear pair, so sum of these angles is 180

m1+m2=180130+m2=180

m2=180130

03

Step 3. Find m angle 3

2 and 3are vertically opposite angles, so there values are equal

m3=m2

Thus,m3=50

04

Step 4. Find m angle 4

1and 4are vertically opposite angles, so there values are equal

m4=m1

Thus,m4=130

05

Step 5. Find m angle 5, m angle 6, m angle 7, and m angle 8

Since, corresponding angles are equal

Pair of corresponding angles are

15,26,37,and48

Thus, measurement of these angles are

m5=130m6=50m7=50m8=130

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