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nexus9112 [7]
3 years ago
15

In kite ABCD, mZBAE = 28º and mZBCE = 58°. Find mZABE. B E А С D mLABE =

Mathematics
1 answer:
Digiron [165]3 years ago
3 0

Answer:

m∠ABE = 62°

Step-by-step explanation:

Since, the given quadrilateral is a kite, diagonals will intersect at 90°.

Therefore, m∠AEB = m∠CEB = 90°

m∠BAE = 28° [Given]

m∠BCE = 58° [Given]

From ΔABE,

m∠BAE + m∠BEA + m∠ABE = 180°

28° + 90° + m∠ABE = 180°

m∠ABE = 180° - 118°

             = 62°

Therefore, measure of angle ABE = 62°.

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