Angles and Lines

Parallel Lines


In parallelogram \(ABCD\), we are given that the green angle \(\angle ABC = 142 ^ \circ\). What is the yellow angle \(\angle BCD\)?

The green and blue lines are parallel, and A and B are points on the green line. If the shortest distance from A to the blue line is 5, what can we say about the shortest distance from B to the blue line?

If \( l \parallel m \), and \( \angle a = 21^\circ \), what is the measure of \( \angle b \) in degrees?

Trapezoid \(ABCD\) has \(\angle D = \color{blue}{x}\) and \(\angle A = \color{green}{2x + 12^\circ}\). What is the measure of \(\angle D\)?

In the above diagram, if \(l \parallel m,\) what is the measure of \(\color{blue}{\angle A}+\color{green}{\angle B} ?\)


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