How to Solve Parallel Lines and Transversals Problems? (+FREE Worksheet!)

The two angles \(75^\circ\) and \(11x-2\) are equal. \(11x-2=75\)
Now, solve for \(x: 11x-2+2=75+2→ 11x=77→x=\frac{77}{11}→x=7\)

The two angles \(7x-35\) and \(3x+45\) are equivalents.
That is: \(7x-35=3x+45\)
Now, solve for \(x: 7x-35+35=3x+45+35 →\)
\(7x=3x+80→7x-3x=3x+80-3x→4x=80→x=\frac{80}{4}→x=20\)

The two angles \(3x-27\) and \(-x+33\) are equivalents.
That is: \(3x-27=-x+33\)
Now, solve for \(x: 3x-27+27=-x+33+27 →\)
\(3x=-x+60→3x+x=-x+60+x→4x=60→x=\frac{60}{4}→x=15\)

1.Find the measure of the angle indicated.

2. Solve for \(x\).

3. Find the measure of the angle indicated.

4. Solve for \(x\).

1.\(\color{blue}{110^\circ}\)

3. \(\color{blue}{84^\circ}\)

4.\(\color{blue}{x=5}\)