Given info:- L and M are parallel lines. Transverse N cuts them at ∠(6x + 42)° and ∠(18x - 12)°. Then find the value of x?
Explanation:-
Since L and M are parallel lines,
.°. ∠(6x + 42)° + ∠(18x - 12)° = 180° [∠s of a linear pair]
→ 6x + 24° + 18x - 12° = 180°
→ 6x + 8x + 24° - 12° = 180°
→ 14x - 12° = 180°
→ 14x = 180° - 12°
→ 14x = 168°
→ x = 168÷14 = 168/14 = 12°
Therefore, the value of “x” is 12°.
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