Quadrilateral ABCD is a rectangle. If m∠BEA=35°,𝑚∠𝐵𝐸𝐴=35°, find m∠BAE.
Question
Quadrilateral ABCD is a rectangle. If m∠BEA=35°,𝑚∠𝐵𝐸𝐴=35°, find m∠BAE.
Solution
In a rectangle, the diagonals are of equal length and bisect each other. This means that they cut each other in half. Therefore, if ∠BEA is 35°, then ∠BAE is also 35° because they are base angles of an isosceles triangle (Triangle ABE). So, m∠BAE = 35°.
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