Question

finding angles in transversal problems (level 1)
score: 3/30 penalty: none
question
given ( mparallel n ), find the value of ( x ).
answer attempt 1 out of 2
( x=)

Explanation:

Step1: Use the property of parallel lines and transversal (corresponding angles)

When two parallel lines \(m\parallel n\) are cut by a transversal, the sum of the angle \(x\) and the given \(74^{\circ}\) angle is \(180^{\circ}\) (they are same - side interior angles). So, we have the equation \(x + 74=180\).

Step2: Solve the equation for \(x\)

Subtract \(74\) from both sides of the equation \(x+74 = 180\).
\(x=180 - 74\)

Answer:

\(x = 106\)