Question
Example
Step by Step
In kite ABCD, mZBAE = 28° and mZBCE = 58°. Find mLABE.

Step-by-step explanation:

Angles and Lines

The figure shows a kite ABCD where the following data is given:

We also know

Since triangle BCD is isosceles, it follows that:

And triangles BCD and DCE are congruent.

Thus:

And also:

Since the sum of internal angles of BCD is 180°

The sum of angles of triangle CDE is 180°, thus

Angles CED and BEA are vertical (opposite), thus:

Finally, since the sum of the angles of triangle ABE is 180°

step-by-step explanation:

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