given ( m parallel n ), find the value of ( x ).\nanswer attempt 1 out of 2\n( x = ) \nsubmit answer
given ( m parallel n ), find the value of ( x ).\nanswer attempt 1 out of 2\n( x = ) \nsubmit answer
Answer
Explanation:
Step1: Identify the angle relationship
Since ( m \parallel n ), the two angles ( (3x + 25)^\circ ) and ( (6x - 5)^\circ ) are alternate interior angles, so they are equal. [ 3x + 25 = 6x - 5 ]
Step2: Solve for ( x )
Subtract ( 3x ) from both sides: [ 25 = 3x - 5 ] Add 5 to both sides: [ 30 = 3x ] Divide both sides by 3: [ x = 10 ]
Answer:
( x = 10 )