Question

C.E.R.

INSTRUCTIONS:
Given that AD II FJ. Use the diagram of a staircase railing to find the value of n. (Think parallel lines cut by a transversal)

then, What is your EVIDENCE? Show all of your work here.

LASTLY, Reasoning-Explain your work, tell me in words why you did the math this way.
CAN SOMEBODY PLZ HELP

Answer 1

• n = 35

Explanation:

AD║FJ and CH is transversal

∡BCH and ∡CHJ are alternate interior angles

• m∡BCH = m∡BCG + m∡GCH = 82° + 30° = 112°

Alternate interior angles are congruent:

• m∡BCH = m∡CHJ
• 3n + 7 = 112
• 3n = 105
• n=105/3
• n = 35