Question

Question 2(Multiple Choice Worth 4 points)

Answer 1

Answer:

p, because Triangle ABC is similar to triangle EDC

Step-by-step explanation:

Answer 2

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