In the diagram, lines r and s are parallel to each other and perpendicular to transversal line t. line w is a transversal to lines r and s. use properties of special angles, formed by parallel lines, perpendicular lines and their transversals, to find the missing angle measures. in the space provided, enter numerical answers only. note: figure is not drawn to scale.

  choose the answers from the list below

Step-by-step explanation:

At the transversals, corresponding angles and vertical angles are equal. Linear anges are supplementary. Acute angles in a right triangle are complementary. Of course, a right angle measures 90°.

Using these rules, you know ...

∠1 = ∠3 = ∠5 = ∠7 = 72°

∠2 = ∠4 = ∠6 = ∠8 = 180° -72° = 108°

∠13 = ∠14 = ∠15 = ∠16 = ∠17 = ∠18 = ∠19 = ∠20 = 90°

∠10 = ∠12 = 90° -72° = 18°

∠9 = ∠11 = 180° -18° = 162°

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