Question

parallel lines and transversals
\\(\overleftrightarrow{cf} \parallel \overleftrightarrow{jk}\\)
pregunta de opción múltiple
los ángulos naranjas miden __ grados. los ángulos naranjas tienen una medida de __ grados.
150
90
180
30

Explanation:

Step1: Identify supplementary angles

Angles on a straight line sum to \(180^\circ\). The blue angle is \(30^\circ\), so the orange angle (supplementary to it) is \(180 - 30 = 150^\circ\).

Step2: Confirm with parallel lines

Since \( \overleftrightarrow{CF} \parallel \overleftrightarrow{JK} \), corresponding angles (or supplementary angles in this case) will be equal. So the orange angles are \(150^\circ\).

Answer:

The measure of the orange angles is \(150\) degrees. So the correct option (assuming the options are 150, 90, 180, 30) is: 150 (the option with 150, e.g., if the options are labeled, it would be the one with 150 as the value).