given ( mparallel n ), find the value of ( x ).
given ( mparallel n ), find the value of ( x ).
Answer
Answer:
(x = 114)
Explanation:
Step1: Find the adjacent angle
The adjacent angle of (66^{\circ}) is (180^{\circ}-66^{\circ}=114^{\circ}) (supplementary angles).
Step2: Use the property of parallel lines
Since (m\parallel n), (x) is equal to the adjacent angle of (66^{\circ}) (corresponding angles or alternate - interior angles concept, here using the property that when two parallel lines are cut by a transversal, the angles are related in a way that (x) and the adjacent angle of (66^{\circ}) are equal). So (x = 114).