Answer:

Given that m ∠5 = 65°, find each measure. Tell which postulate or theorem you use.

A. m ∠6 = 65°

B. m ∠7 = 115°

C. m ∠8 = 65°

D. m ∠9 = 115°

Solution:

A. m∠6 = m∠5 = 65°

B. m∠7 + m∠5 = 180° ,

m∠7 = 180°

– m∠5 = 115°

C. m∠8 = m∠5 = 65°

D. m∠9 + m∠8 = 180° ,

m∠9 = 180°

– m∠8 = 115°

C.E.R Question:

1. How did you find the solution?

• By analyzing each solution if it can fit the answer and by checking it correctly.

2. What concept did you apply in finding the answer?

• The mathematical concept that we apply here is logical reasoning. We start with analysis, and apply the mathematical symbol used in the equation also you could use the concepts of geometry an illustration.

3. Are the properties of parallelograms helpful in establishing parallelism and perpendicularity of lines?

• The properties of parallelogram are not helpful in establishing parallelism and perpendicularity of lines.

Hope it helps