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°.
