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
Answer:
(x = 33)
Explanation:
Step1: Use the property of supplementary angles
When (m\parallel n), the sum of ((4x + 1)^{\circ}) and ((2x-19)^{\circ}) is (180^{\circ}) (consecutive interior angles are supplementary). So we have the equation (4x + 1+2x-19=180).
Step2: Simplify the equation
Combine like terms: (6x-18 = 180).
Step3: Solve for (x)
Add (18) to both sides: (6x=180 + 18=198). Then divide both sides by (6): (x=\frac{198}{6}=33).