Question

question
given ( m parallel n ), find the value of ( x ).
(there is a diagram showing two parallel lines ( m ) and ( n ) cut by a transversal ( t ), with angles ( (3x - 30)^circ ) and ( (8x - 10)^circ ) on line ( n ))
answer attempt 2 out of 2
( x = ) input box submit answer

Explanation:

Step1: Identify angle relationship

Since \(m \parallel n\) and transversal \(t\) intersects them, the angles \((3x - 30)^\circ\) and \((8x - 10)^\circ\) are consecutive interior angles, so they are supplementary.

Step2: Set up equation

\((3x - 30) + (8x - 10) = 180\)

Step3: Simplify and solve for x

Combine like terms: \(11x - 40 = 180\)
Add 40 to both sides: \(11x = 220\)
Divide by 11: \(x = 20\)

Answer:

20