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svet-max [94.6K]
3 years ago
13

Question 2(Multiple Choice Worth 4 points)

Mathematics
2 answers:
IgorC [24]3 years ago
7 0

Answer:

p, because Triangle ABC is similar to triangle EDC

Step-by-step explanation:

dangina [55]3 years ago
3 0

Answer:

  • p, because Triangle ABC is similar to triangle EDC

Step-by-step explanation:

<h3>Given</h3>
  • The triangles have a common vertex C
  • m∠ABC = 70°
  • m∠BAC = p
  • m∠CDE = 70°
  • m∠CED = ?
<h3>Solution</h3>

As C is common vertex, the angles BCA and DCE are vertical angles and therefore have same measure

<u>Sum of angles of ABCΔ:</u>

  • 70° + p + ∠C = 180°

<u>Sum of angles of ΔEDC:</u>

  • 70° + ∠CED + ∠C = 180°

<u>Comparing the sums above we get:</u>

  • ∠CED = p

<u>Correct option is the last one:</u>

  • p, because Triangle ABC is similar to triangle EDC
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