Angles & parallel lines

Two angles are complementary. One angle is 52°. Calculate the size of the other angle.

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

In the diagram, ℓ$_{1}$ ∥ ℓ$_{2}$ and a transversal cuts both lines. Two angles are marked $4x+17^\circ$ and $2x+43^\circ$.

Two straight lines cross at a point, forming two pairs of angles directly opposite each other. One angle measures 28°. What is the term for its partner angle directly opposite it, and what is its size?

In the diagram, ℓ$_{1}$ ∥ ℓ$_{2}$ and a transversal cuts both lines. The marked angle is 35°.

The angles 82°, 58°, 86° and x° lie around a point. Calculate the value of x.

Angle 69° and angle 33° share a common vertex and a common arm, sitting side by side without overlapping. What is the relationship between the two angles called?

The angles 132°, 49°, 42° and x° lie around a point. Calculate the value of x.

Two angles are complementary. One angle is 63°. Calculate the size of the other angle.

In the diagram, PQ ∥ RS and a transversal cuts both lines. Two angles are marked $6x+10^\circ$ and $3x+46^\circ$.

In the diagram, AB ∥ CD and a transversal cuts both lines. The marked angle is 36°.

In the diagram, PQ ∥ RS and a transversal cuts both lines. The marked angle is 60°.