Angles & parallel lines

In the diagram, ℓ$_{1}$ ∥ ℓ$_{2}$ and a transversal cuts both lines. Two angles are marked $5x+7^\circ$ and $3x+35^\circ$.

In the diagram, ℓ$_{1}$ ∥ ℓ$_{2}$ and a transversal cuts both lines. The marked angle is 33°.

The angles 157°, 109° and x° lie around a point. Calculate the value of x.

Two complementary angles are (4x + 9)° and (3x + 25)°. Calculate the value of x, and hence the size of each angle.

In the diagram, ℓ$_{1}$ ∥ ℓ$_{2}$ and a transversal cuts both lines. The marked angle is 31°.

In the diagram, PQ ∥ RS and a transversal cuts both lines. The marked angle is 77°.

The angles 80°, 117°, 66° and x° lie around a point. Calculate the value of x.

In the diagram, ℓ$_{1}$ ∥ ℓ$_{2}$ and a transversal cuts both lines. The marked angle is 78°.

In the diagram, ℓ$_{1}$ ∥ ℓ$_{2}$ and a transversal cuts both lines. The marked angle is 60°.

In the diagram, ℓ$_{1}$ ∥ ℓ$_{2}$ and a transversal cuts both lines. Two angles are marked $6x+6^\circ$ and $3x+57^\circ$.

In the diagram, PQ ∥ RS and a transversal cuts both lines. Two angles are marked $4x+20^\circ$ and $2x+44^\circ$.

In the diagram, ℓ$_{1}$ ∥ ℓ$_{2}$ and a transversal cuts both lines. The marked angle is 54°.