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geometry junior
Problem
In , , , and . What is the number of degrees in ?

Solution
Angles and are alternate interior angles, so they are congruent. Therefore, .
Since , triangle is isosceles with equal angles at and . Therefore, .
Finally, and are corresponding angles, so degrees.
Since , triangle is isosceles with equal angles at and . Therefore, .
Finally, and are corresponding angles, so degrees.
Final answer
40