given ( mparallel n ), find the value of ( x ).\nanswer attempt 1 out of 2\n( x=)

given ( mparallel n ), find the value of ( x ).\nanswer attempt 1 out of 2\n( x=)

given ( mparallel n ), find the value of ( x ).\nanswer attempt 1 out of 2\n( x=)

Answer

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines (m\parallel n) are cut by a transversal (t), the sum of same - side interior angles is (180^{\circ}). So, (x + 59=180)

Step2: Solve for (x)

Subtract (59) from both sides of the equation (x + 59=180). (x=180 - 59) (x = 121)

Answer:

(121)