In the diagram, m || n. Find the value of x. Explain how you obtained your answer.

x = 67°

Step-by-step explanation:

It's given that m║n.

Construction done: A line 't' parallel to the given lines 'm' and 'n'.

Since, m║t and a transversal line is intersecting these lines.

m∠a = 35° [Alternate interior angles]

m∠c = 180° - 148° [∠c and angle measuring 148° are the linear pair of angles]

       = 32°

n║t and a transversal line is intersecting these lines.

Since, ∠b ≅ ∠c [Alternate interior angles]

m∠a + m∠b = m∠x [Angle addition postulate]

x = 32° + 35°

x = 67°

Therefore, measure of angle x is 67°.

answer is:

1.75 pounds