Respuesta :

luisejr77

Answer:

Z = 27°

Step-by-step explanation:

The sum of the internal angles of a triangle is always equal to 180 °. Note that the triangle shown whose angles are z and 63 ° is a right triangle. Therefore it has an angle of 90 °. Then we can write the following equation:

[tex]z + 63\° +90\°= 180\°\\\\z = 180\° - 63\°-90\°\\\\z = 27\°[/tex]

Finally z = 27°

kudzordzifrancis

ANSWER

[tex]z = 27 \degree[/tex]

EXPLANATION

The diagonals of a rhombus bisect each other at right angles.

Hence each of the four angles at the center by are 90° each.

This means that:

[tex]z + 63 + 90 = 180[/tex]

Sum of interior angles of a triangle.

[tex]z + 153= 180[/tex]

[tex]z = 180 - 153[/tex]

This simplifies to.

[tex]z = 27 \degree[/tex]

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