McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
2. Similar Polygons
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Exercise 67 Page 559

128^(∘)

Practice makes perfect

Let's begin with recalling the Exterior Angle Theorem.

The measure of an exterior angle of a triangle is equal to the sum of measures of the two remote interior angles.

Now let's look at the given picture.

According to this theorem, the measure of 1 is a sum of two remote interior angles, 50^(∘) and 78^(∘). m∠ 1= 50^(∘)+ 78^(∘)=128^(∘)