Angles and Lines - Problem Solving Practice Problems Online

In parallelogram $ABCD$ , the green angle $\angle ABC = 58 ^ \circ$ . What is the pink angle $\angle ADC$ ?

In the above diagram, line segment $\overline{AB}$ is parallel to line segment $\overline{CD}.$ If $\alpha={70}^\circ$ and $\beta={28}^\circ,$ then what is the angle $\angle OCD ?$

Given quadrilateral $ABCD$ where $AB$ is parallel to $DC$ and $AC$ and $BD$ intersect at $E$ , with $\angle BEC = 58 ^\circ$ and $\angle ACD = 31 ^\circ$ , what is $\angle ABE$ (in degrees)?

$L_1$ is parallel to $L_2$ and $\alpha={54}^\circ,$ $\beta={84}^\circ$ and $\gamma={21}^\circ.$ What is the angle $\omega$ in degrees?

Consider a 6 sided star that is formed from 2 triangles as above. What is the sum of the angles at A, B, C, D, E and F?

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Angles and Lines - Problem Solving