McGraw Hill Integrated II, 2012
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Exercise 14 Page 273

An obtuse angle is an angle which measures greater than 90^(∘), but less than 180^(∘).

∠ DXB and ∠ AXE

Practice makes perfect
Consider the given diagram. There are two lines on this diagram that form two pairs of vertical angles: ∠ DXE and ∠ AXB, and ∠ DXB and ∠ AXE.

Now, recall that an obtuse angle is an angle which measures greater than 90^(∘), but less than 180^(∘). Of these two pairs, the angles ∠ DXB and ∠ AXE appear to be obtuse vertical angles.