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Finding Angle Measures
Description
Finding Angle Measures
Introduction
Angles are everywhere! You can find them in buildings, road signs, sports fields, and even in the corners of your phone screen. Learning how to find angle measures helps you solve geometry problems and understand h...
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Transcript
Maya sits in math class and places two pencils parallel to each other on her desk.
She lays a ruler across them to create a transversal line, making eight angles in total.
She notices that the angles in the same relative positions are identical.
Her teacher explains these are called corresponding angles, which are always congruent when a transversal crosses parallel lines.
To understand this better, Maya examines a diagram showing a transversal t cutting two parallel lines a and b, with one angle marked 110°.
She notices that angle 1 is in the lower left position at the second intersection, which is the same position as the 110° angle at the first intersection.
Because the lines are parallel, corresponding angles are congruent, so angle 1 also measures 110°.
Maya then observes that angle 1 and angle 2 lie on a straight line, making them supplementary.
Since supplementary angles sum to 180°, she subtracts 110 from 180 to find that angle 2 is 70°.
Now, Maya realizes she can find every angle just by using these geometric relationships.
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