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Question 2(Multiple Choice Worth 4 points)
(05.09A MC)

What is the measure of angle CED?

There are two triangles labeled ABC and DCE with a common vertex C. In triangle ABC, angle BAC is labeled as p, and angle ABC is labeled as 70 degrees. In triangle DCE, angle CDE is labeled as 70 degrees.

p over 2, because Triangle ABC is congruent to triangle DCE
p + 70 degrees, because Triangle ABC is similar to triangle DCE
110 degrees − p, because Triangle ABC is congruent to triangle DCE
p, because Triangle ABC is similar to triangle EDC

Question 2Multiple Choice Worth 4 points 0509A MC What is the measure of angle CED There are two triangles labeled ABC and DCE with a common vertex C In triangl class=

Respuesta :

mhanifa

Answer:

  • p, because Triangle ABC is similar to triangle EDC

Step-by-step explanation:

Given

  • The triangles have a common vertex C
  • m∠ABC = 70°
  • m∠BAC = p
  • m∠CDE = 70°
  • m∠CED = ?

Solution

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

Sum of angles of ABCΔ:

  • 70° + p + ∠C = 180°

Sum of angles of ΔEDC:

  • 70° + ∠CED + ∠C = 180°

Comparing the sums above we get:

  • ∠CED = p

Correct option is the last one:

  • p, because Triangle ABC is similar to triangle EDC

Answer:

p, because Triangle ABC is similar to triangle EDC

Step-by-step explanation:

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