Question

find the value of x that makes m//n in #3 and 4
3.
4.

Explanation:

Step1: Use the property of alternate interior angles for problem 3

When \(m\parallel n\), alternate interior angles are equal. So \(x = 73\)

Step2: Use the property of same - side exterior and interior angles for problem 4

When \(m\parallel n\), the sum of a same - side exterior angle and a same - side interior angle is \(180^{\circ}\).
The angle adjacent to \(147^{\circ}\) is \(180 - 147=33^{\circ}\) (linear pair).
Since \(m\parallel n\), then \(x + 14=33\)
Subtract 14 from both sides: \(x=33 - 14\)

Answer:

For problem 3: \(x = 73\)
For problem 4: \(x = 19\)