Respuesta :

This is a quadrilateral, so the sum of interior angle measures, like a rectangle or square ( who’s interior angle measures are4 x 90) —— is 360

So ...
E + 89 + 130 + 90 = 360
E + 309 = 360
- 309 - 309
E = 51 degrees

The measure of ∠E is 51 degrees.

What is the sum of the internal angles of a quadrilateral?

The sum of the internal angles of a quadrilateral is 360 degrees.

We can find the value of the unknown angle as shown below:

The angles are given as 89, 130, and 90 degrees. The sum of the angles of a quadrilateral is always 360 degrees.

This means that:

∠E + 89° + 130° + 90° = 360°

∠E = 360° - 89° - 130° - 90°

= 360° - 309°

= 51 degrees.

The value of the angle E is 51 degrees.

Therefore, we have found the measure of ∠E to be 51 degrees.

Learn more about the sum of the angles of a quadrilateral here: https://brainly.com/question/10975107

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