Fill in the blank question.Quadrilateral ABCD is a rectangle. If m∠BEA=35°,𝑚∠𝐵𝐸𝐴=35°, find m∠BAE.
Question
Fill in the blank question.Quadrilateral ABCD is a rectangle. If m∠BEA=35°,𝑚∠𝐵𝐸𝐴=35°, find m∠BAE.
Solution
Given that quadrilateral ABCD is a rectangle, we know that angle BAD is a right angle, or 90 degrees.
We are given that angle BEA is 35 degrees.
In triangle ABE, the sum of the angles is 180 degrees.
So, to find angle BAE, we subtract the given angles from 180 degrees.
Therefore, m∠BAE = 180° - 90° - 35° = 55°.
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